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Paper Citation Record · LEDGER

Black Hole Quantum Mechanics and Generalized Error Functions

As of 5 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 1 inbound Pith citation observation for arXiv:2507.08551.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.08551 v3

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-19T05:48:31.788237Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T07:58:51.188202Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

51 of 51 outbound references displayed

  • verified exact45
  • verified fuzzy6
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e8ef4c7b-8fde-4101-ac01-e1539b2b55af · outbound

This paper cites Microscopic Origin of the Bekenstein-Hawking Entropy.

Black Hole Quantum Mechanics and Generalized Error Functions Microscopic Origin of the Bekenstein-Hawking Entropy

Reference 1

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local_arxiv, observed 2026-05-19T05:52:07.441951Z

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:6664efd76df4976a89677e699eef666386917cfd619cca4c95d827611c155061

Observation 5cad695f-a5d2-4c70-885f-dfb087bb0e1e · outbound

This paper cites Black Hole Entropy in M-Theory.

Black Hole Quantum Mechanics and Generalized Error Functions Black Hole Entropy in M-Theory

Reference 2

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:bd7e40c05d31f885d1fdb02e2dc59f55d5e5f515c5e864289bb75906387cb839

Observation 3d5bd052-a578-4571-93ed-359c35b82c87 · outbound

This paper cites Multiple D3-instantons and mock modular forms I.

Black Hole Quantum Mechanics and Generalized Error Functions Multiple D3-instantons and mock modular forms I

Reference 3

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arxiv_id, observed 2026-05-19T05:52:07.447689Z

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:10c166101fea0222cde96ab1070405450bf1e73111b8bdb2a6105a7ec856b4dc

Observation 591bf180-ce98-47a4-aa95-037528ded1bf · outbound

This paper cites Multiple D3-instantons and mock modular forms II.

Black Hole Quantum Mechanics and Generalized Error Functions Multiple D3-instantons and mock modular forms II

Reference 4

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arxiv_id, observed 2026-05-19T05:52:07.411903Z

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:76fac905a94deed23fd04247aed2379e7f5858afe604b34743f4c9acaa52639d

Observation b7095dba-f859-4eb5-b1ba-a3845818e1a3 · outbound

This paper cites Black holes and higher depth mock modular forms.

Black Hole Quantum Mechanics and Generalized Error Functions Black holes and higher depth mock modular forms

Reference 5

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:f75fb7e99c2d6bfde21a032293d0365852312264d75316dc77e213c5afdbd3d8

Observation 13fd10d1-ed25-4d77-a0a0-09f38dd94081 · outbound

This paper cites S-duality and refined BPS indices.

Black Hole Quantum Mechanics and Generalized Error Functions S-duality and refined BPS indices

Reference 6

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:aaaa91057e2d12a2186f3e96dcd50d23bbf6806835ea1a136d821a829a742ee9

Observation 8661c8fd-a2de-4daf-923b-704fc0d5b30f · outbound

This paper cites Mock modularity at work, or black holes in a forest.

Black Hole Quantum Mechanics and Generalized Error Functions Mock modularity at work, or black holes in a forest

Reference 7

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arxiv_id, observed 2026-05-19T05:52:07.431341Z

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:f19048bbf9be7a880f6cb17ea7ffe25a6b90fd8d601d2ab9519125cb75ed9ef1

Observation 734d9c94-8600-421d-a1a3-feb0d200d8df · outbound

This paper cites Quantum Black Holes, Wall Crossing, and Mock Modular Forms.

Black Hole Quantum Mechanics and Generalized Error Functions Quantum Black Holes, Wall Crossing, and Mock Modular Forms

Reference 8

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local_arxiv, observed 2026-05-19T05:52:07.426702Z

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:5583cdc4854be8f668b36fee4eb8f8f4dec2ce45261744e1915c6a10355e0720

Observation 2401c497-c177-46c0-851e-9b462f475b98 · outbound

This paper cites Mock theta functions.

Black Hole Quantum Mechanics and Generalized Error Functions Mock theta functions

Reference 9

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:603b1baa0771c1f3480452b25387b611cd81457c894091bc53db6a8bff1a449d

Observation b8f9f373-861d-4327-8037-339b306efef7 · outbound

This paper cites Zagier,Ramanujan’s mock theta functions and their applications (after Zwegers and Ono-Bringmann),Astérisque(2009) Exp.

Black Hole Quantum Mechanics and Generalized Error Functions Zagier,Ramanujan’s mock theta functions and their applications (after Zwegers and Ono-Bringmann),Astérisque(2009) Exp

Reference 10

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:4fc5a4e7527c59cd942dc8a1545343459438a181ddf44bbf8185dc9c8fa378ba

Observation e696cb01-30e6-4f78-bcf7-f2848b0daf7d · outbound

This paper cites Vignéras,Séries thêta des formes quadratiques indéfinies,Springer Lecture Notes627(1977) 227.

Black Hole Quantum Mechanics and Generalized Error Functions Vignéras,Séries thêta des formes quadratiques indéfinies,Springer Lecture Notes627(1977) 227

Reference 11

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:26bb23a54de9813bd5aa4465dd1ac6c4fcbd5e0914c177e00d0bd0a818dda896

Observation 1bfd4d0f-8673-4fd0-b196-f9038c78a013 · outbound

This paper cites Wall-crossing made smooth.

Black Hole Quantum Mechanics and Generalized Error Functions Wall-crossing made smooth

Reference 12

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:d75e5334f2c48845aa81205b2b5a96d89986f58b47a19681be4fe051fb47cccb

Observation f58ee812-d2e8-4638-b1df-24584eeb6fe4 · outbound

This paper cites Mock modularity from black hole scattering states.

Black Hole Quantum Mechanics and Generalized Error Functions Mock modularity from black hole scattering states

Reference 13

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:bbb6adae8a02915bf6c1bdbc315c4775e980535acb5d2b033cdba0db2a0b24f2

Observation 3040aed7-2b7a-4808-b896-7ddce719f2a1 · outbound

This paper cites The non-compact elliptic genus: mock or modular.

Black Hole Quantum Mechanics and Generalized Error Functions The non-compact elliptic genus: mock or modular

Reference 14

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:5677a9fd005b415fbdadbb77fc96d5de3c4e2c233587a5c22208945156c49a85

Observation e8db8942-a2d2-4d85-a2d5-126e7a0b773b · outbound

This paper cites Non-holomorphic Modular Forms and SL(2,R)/U(1) Superconformal Field Theory.

Black Hole Quantum Mechanics and Generalized Error Functions Non-holomorphic Modular Forms and SL(2,R)/U(1) Superconformal Field Theory

Reference 15

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:c16fd1845c46df4784bce15f6e49f0375373b7ee61b37a24f9d555dcac65caf4

Observation 1f8e9f7b-0469-4754-bc3f-dda136f63394 · outbound

This paper cites A Twisted Non-compact Elliptic Genus.

Black Hole Quantum Mechanics and Generalized Error Functions A Twisted Non-compact Elliptic Genus

Reference 16

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:38024f1e635e5eb57b9e187744ebae18e05b7e479dc24d98f2201f0db3b1f001

Observation d9e259f3-d19b-478c-addf-47b4a12c62f4 · outbound

This paper cites A holomorphic anomaly in the elliptic genus.

Black Hole Quantum Mechanics and Generalized Error Functions A holomorphic anomaly in the elliptic genus

Reference 17

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:7fd96e605c2799c1a36b38ccb3c5a70b606e490056931f30b2550e2a256a9698

Observation 4476249a-0e9d-4661-9957-7997007cc0d7 · outbound

This paper cites Localization and real Jacobi forms.

Black Hole Quantum Mechanics and Generalized Error Functions Localization and real Jacobi forms

Reference 18

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:8cf0aab3ced10e2337a8744df1ca04e445d1f7e67d48b24b001d3aed69551cfb

Observation 0800b95f-369b-470e-bfb7-6f604f4cf339 · outbound

This paper cites Elliptic genera of ALE and ALF manifolds from gauged linear sigma models.

Black Hole Quantum Mechanics and Generalized Error Functions Elliptic genera of ALE and ALF manifolds from gauged linear sigma models

Reference 19

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:12030756e78bc95383569c31c40e4556d20e2b4d5969f96d7120de03d26e92b6

Observation 73b83aa1-fa8e-4687-80fa-ddb97166e08d · outbound

This paper cites Squashed toric sigma models and mock modular forms.

Black Hole Quantum Mechanics and Generalized Error Functions Squashed toric sigma models and mock modular forms

Reference 20

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:06310ab18919a6635d96a7ecbff974df378320c54367bc904be68be24915f911

Observation a748636d-4414-4f6d-ba3b-07e1c10e187a · outbound

This paper cites Squashed Toric Manifolds and Higher Depth Mock Modular Forms.

Black Hole Quantum Mechanics and Generalized Error Functions Squashed Toric Manifolds and Higher Depth Mock Modular Forms

Reference 21

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:3155ad5c78fd38dfc5e58adabafe14fda2d09c71a2edb9b35fed8d4666570018

Observation ae87890d-f83e-43d8-95ff-25952432ecd5 · outbound

This paper cites Mock modularity and a secondary elliptic genus.

Black Hole Quantum Mechanics and Generalized Error Functions Mock modularity and a secondary elliptic genus

Reference 22

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:14157823bf580e4c18393ed82b125ac9ba391e6fa676f95e57554b7b98efc7d2

Observation bf5c1e7a-90c7-46cb-a663-9e8dfbc83073 · outbound

This paper cites Indefinite theta series and generalized error functions.

Black Hole Quantum Mechanics and Generalized Error Functions Indefinite theta series and generalized error functions

Reference 23

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arxiv_id, observed 2026-05-19T05:52:07.470513Z

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:497bf9e524a63765e966df5eddb427fe3711ae078a84da3804fea78d7e475db3

Observation 10ad9d82-3ba8-4b75-88d4-a1e5b566c012 · outbound

This paper cites $r$-Tuple Error Functions and Indefinite Theta Series of Higher-Depth.

Black Hole Quantum Mechanics and Generalized Error Functions $r$-Tuple Error Functions and Indefinite Theta Series of Higher-Depth

Reference 24

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:44a56d7abe48ca8a83b77cdbe3b6ee8f61b3f2834408e1213403e98faeb12d91

Observation a5e28ea3-d9f1-4f94-95d2-1dc46e6ba7dd · outbound

This paper cites A Strong Coupling Test of S-Duality.

Black Hole Quantum Mechanics and Generalized Error Functions A Strong Coupling Test of S-Duality

Reference 25

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:649a1c97bd527ca6e08b5ba9d318b21d181e3b851be9f343af464e69b19ab0d5

Observation 50f7b640-1698-4479-99ec-0565383bab51 · outbound

This paper cites Refined $\mathrm{SU}(3)$ Vafa-Witten invariants and modularity.

Black Hole Quantum Mechanics and Generalized Error Functions Refined $\mathrm{SU}(3)$ Vafa-Witten invariants and modularity

Reference 26

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arxiv_id, observed 2026-05-19T05:52:07.477245Z

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:1fa2331d4f4aec32c04a6a767fcf5d12646801e97421ec56c2432a065f7f66f1

Observation c88759a9-a25b-4df0-8a1b-4e74dfb7998c · outbound

This paper cites Equivariant K-theory and refined Vafa-Witten invariants.

Black Hole Quantum Mechanics and Generalized Error Functions Equivariant K-theory and refined Vafa-Witten invariants

Reference 27

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arxiv_id, observed 2026-05-19T05:52:07.574706Z

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:11f31c7ef402611f0ecfa0cc388873e8cb433e9c5f8e7129e10f7347ccd05d5f

Observation 680c5b3b-0df5-4871-8692-5f406b5b4a34 · outbound

This paper cites From sheaves on P2 to a generalization of the Rademacher expansion.

Black Hole Quantum Mechanics and Generalized Error Functions From sheaves on P2 to a generalization of the Rademacher expansion

Reference 28

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:0f50f5bab2bcaa845e5dfad3c1ec31c0d6be765c9152baa202ee2736dc3c4b2a

Observation 3df202d5-2d4a-49eb-a49a-f9390179070a · outbound

This paper cites Vafa-Witten theory and iterated integrals of modular forms.

Black Hole Quantum Mechanics and Generalized Error Functions Vafa-Witten theory and iterated integrals of modular forms

Reference 29

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:3c74e004dc907d8efb7eb5fb1529bd1f8d3bbf6ac697a89c0dafc8e23c5a4c10

Observation 7a35334f-884c-464e-9c29-f8fe856b19b8 · outbound

This paper cites Vafa-Witten invariants from modular anomaly.

Black Hole Quantum Mechanics and Generalized Error Functions Vafa-Witten invariants from modular anomaly

Reference 30

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:051d51480402629ff3fbc2abaab7b725f120e1f70f62d0de558baf8fe37a5ae8

Observation 2223e0f4-fcac-4c92-a8e6-a22f70484e66 · outbound

This paper cites Rank $N$ Vafa-Witten invariants, modularity and blow-up.

Black Hole Quantum Mechanics and Generalized Error Functions Rank $N$ Vafa-Witten invariants, modularity and blow-up

Reference 31

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:7af9955c97703f36e5ca581015348119aee4a1b93bb69f15d28ff0fab6159b4e

Observation 2bab6a2a-908a-45fb-95f2-6f65a010137c · outbound

This paper cites Modular anomaly of BPS black holes.

Black Hole Quantum Mechanics and Generalized Error Functions Modular anomaly of BPS black holes

Reference 32

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arxiv_id, observed 2026-05-19T05:52:07.655205Z

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:1dd899638e150bdb226bebddab96904ed9646de55961d4e8732fc935d4f813c1

Observation 53f172c0-43da-4086-b6a1-895ec2ee66d0 · outbound

This paper cites $R^3$ index for four-dimensional $N=2$ field theories.

Black Hole Quantum Mechanics and Generalized Error Functions $R^3$ index for four-dimensional $N=2$ field theories

Reference 33

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local_arxiv, observed 2026-05-19T05:52:07.464478Z

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:ccff41ada69ce9df0b1c3a26e572d0ecd69276fbba214937e60a1e257c192ad1

Observation 649e9c05-71df-4455-aab1-2b957c447431 · outbound

This paper cites Stability and duality in N=2 supergravity.

Black Hole Quantum Mechanics and Generalized Error Functions Stability and duality in N=2 supergravity

Reference 34

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source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:eb5ea99ddf2e9c3764ff4f9e91efe51f964882b53103a6cbcd21d89827a46363

Observation df534973-527b-494b-9de5-d4fec8cbaf0f · outbound

This paper cites Quantum Quivers and Hall/Hole Halos.

Black Hole Quantum Mechanics and Generalized Error Functions Quantum Quivers and Hall/Hole Halos

Reference 35

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:bc9698c2f9699441a7258ff38d62e92d21d27650935debf95e1d0801169477c5

Observation 8e4c7b8b-38d0-4af6-8df5-67ca52209a65 · outbound

This paper cites Framed BPS States, Moduli Dynamics, and Wall-Crossing.

Black Hole Quantum Mechanics and Generalized Error Functions Framed BPS States, Moduli Dynamics, and Wall-Crossing

Reference 36

Resolution
verified exact
local_arxiv, observed 2026-05-19T05:52:07.623073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:62db39a58ef1f97f0bc638bf8c62c20bbbb06e88954f7f56f1c7d07bf758651e

Observation 90ca4883-3b17-4a89-906e-b94dc367da07 · outbound

This paper cites Ab Initio Wall-Crossing.

Black Hole Quantum Mechanics and Generalized Error Functions Ab Initio Wall-Crossing

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-05-19T05:52:07.585375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:686ce1748e73bee2ea94a5692e419bb52e1e5d27e8dffdd0588a241fc465ce20

Observation 4930393d-d16e-4879-be28-b4464ff44b28 · outbound

This paper cites Quantizing N=2 Multicenter Solutions.

Black Hole Quantum Mechanics and Generalized Error Functions Quantizing N=2 Multicenter Solutions

Reference 38

Resolution
verified exact
local_arxiv, observed 2026-05-19T05:52:07.539398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:3ac77aab120035dc5b3d077258deb984bd9d32b25649c2a87b63adc4d7278d45

Observation 84bce426-e888-4840-8902-a99b9a250542 · outbound

This paper cites Scaling BPS Solutions and pure-Higgs States.

Black Hole Quantum Mechanics and Generalized Error Functions Scaling BPS Solutions and pure-Higgs States

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-05-19T05:52:07.551964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:6e27e79239f9d3ebb7fbce01e7d6bf1b6e9b444ede9a577605885580fd4c9d44

Observation 6384a282-46f9-4e1d-a90a-7449465c4cb8 · outbound

This paper cites On the existence of scaling multi-centered black holes.

Black Hole Quantum Mechanics and Generalized Error Functions On the existence of scaling multi-centered black holes

Reference 40

Resolution
verified exact
arxiv_id, observed 2026-05-19T05:52:07.504177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:fa9b1db054da9e9ca4aabed90e27a50b8075b7bc8cdfacfef02efd43cd50c0d7

Observation 8029452e-c60d-4962-82e0-82c234293278 · outbound

This paper cites Wall-Crossing from Boltzmann Black Hole Halos.

Black Hole Quantum Mechanics and Generalized Error Functions Wall-Crossing from Boltzmann Black Hole Halos

Reference 41

Resolution
verified exact
local_arxiv, observed 2026-05-19T05:52:07.458678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:275b144fe71ffa370c619a95fb91c2fa0bdedea8b76fe269390434bef064beef

Observation 2db219f0-9173-47f6-93ef-19b66537b20b · outbound

This paper cites A fixed point formula for the index of multi-centered N=2 black holes.

Black Hole Quantum Mechanics and Generalized Error Functions A fixed point formula for the index of multi-centered N=2 black holes

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-05-19T05:52:07.602028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:02bad2f7ff14aa445d4ca8125938db6bfbae4e0f2532ec7b1bd7bbb2d88d8e0e

Observation c2eb64e7-15f7-4997-b7bb-e00f0f92d6d1 · outbound

This paper cites Attractor flow trees, BPS indices and quivers.

Black Hole Quantum Mechanics and Generalized Error Functions Attractor flow trees, BPS indices and quivers

Reference 43

Resolution
verified exact
arxiv_id, observed 2026-05-19T05:52:07.580256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:88e57eaf434225494d27d2e08f3c97f7c9c7c86262ae7db66407fa17bf6f32c9

Observation 2c089c1c-262f-4891-8e8a-a76609e4573c · outbound

This paper cites Girardello, C.

Black Hole Quantum Mechanics and Generalized Error Functions Girardello, C

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T05:53:00.582710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:c886141011cfa4c427c14e3adb22e8f1a90302f43731ae376d297bcd76135303

Observation 9c44efab-4cec-4799-96b9-36a0824ce318 · outbound

This paper cites Imbimbo and S.

Black Hole Quantum Mechanics and Generalized Error Functions Imbimbo and S

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T05:53:00.585550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:660b2894cb6e7ad5def322dc966345197d1cd8c3f6c2cb17be0cb4b560f00f6a

Observation 87bbc663-c7f7-46d3-a27d-27b845287f0e · outbound

This paper cites Vafa-Witten invariants from exceptional collections.

Black Hole Quantum Mechanics and Generalized Error Functions Vafa-Witten invariants from exceptional collections

Reference 46

Resolution
verified exact
arxiv_id, observed 2026-05-19T05:52:07.483087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:1766e8ac977f0b022d3553a6c6ac077250a41444884e3006d03e07be22a17bd7

Observation ac965d39-a64e-4500-890d-db6b59d56bdc · outbound

This paper cites Duality and Mock Modularity.

Black Hole Quantum Mechanics and Generalized Error Functions Duality and Mock Modularity

Reference 47

Resolution
verified exact
arxiv_id, observed 2026-05-19T05:52:07.613298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:53be3cd4be0941dafaf8d06ec782f68b76a7adea42bc74fa516a4b7c2d0d37a3

Observation 1eb28a7d-608e-43cb-9764-348aca371886 · outbound

This paper cites Göttsche,The Betti numbers of the Hilbert scheme of points on a smooth projective surface,Math.

Black Hole Quantum Mechanics and Generalized Error Functions Göttsche,The Betti numbers of the Hilbert scheme of points on a smooth projective surface,Math

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T05:53:00.591692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:68122be984c236f8d3b32482c6ebffde8ff1c9e53bbb404827ed4b7502753a33

Observation c6ca9b5d-16d7-4972-80ff-5981dd404ef0 · outbound

This paper cites Scaling Black Holes and Modularity.

Black Hole Quantum Mechanics and Generalized Error Functions Scaling Black Holes and Modularity

Reference 49

Resolution
verified exact
arxiv_id, observed 2026-05-19T05:52:07.493163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:f0387dcc3dca8bade328dfa2cd3d0618a3220b900749c12098a2a98a5bfea66b

Observation 6a1561d3-835d-4b13-997d-ecef9f74d1d7 · outbound

This paper cites On the Coulomb and Higgs branch formulae for multi-centered black holes and quiver invariants.

Black Hole Quantum Mechanics and Generalized Error Functions On the Coulomb and Higgs branch formulae for multi-centered black holes and quiver invariants

Reference 50

Resolution
verified exact
local_arxiv, observed 2026-05-19T05:52:07.644268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:23a057b52349b8fafab1f161998f9f35aa29b5ddaec5035c6260054010fdcbb7

Observation 010530c0-2663-48fb-b966-3ad0475d5a2a · outbound

This paper cites Witten Index and Wall Crossing.

Black Hole Quantum Mechanics and Generalized Error Functions Witten Index and Wall Crossing

Reference 51

Resolution
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local_arxiv, observed 2026-05-19T05:52:07.650143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-19T05:48:31.788237Z digest=sha256:de41f30841693413c7a145aa91aba8658d2221fb0388458762377f6c30042e51

Pith citing papers

Observation ec23adef-d7b8-47f8-842f-dc007561d312 · inbound

Revisiting the Quantum Geometry of Torus-fibered Calabi-Yau Threefolds cites this paper.

Revisiting the Quantum Geometry of Torus-fibered Calabi-Yau Threefolds Black Hole Quantum Mechanics and Generalized Error Functions

Reference 75

Resolution
unresolved
no resolver link, observed 2026-08-04T07:58:51.188202Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T07:58:51.188202Z digest=sha256:847ad3eb4a7bcb665bd2662f543dc2c95c3565a32af12ba9eb550010e8c0ccf1