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Paper Citation Record · LEDGER

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States

As of 14 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2505.20180.

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

pith.paper-citation-record.v1
2505.20180 v2

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:09:29.823241Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

30 of 30 outbound references displayed

  • verified exact13
  • verified fuzzy6
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8de5f92c-1861-4335-8cc3-a5a4b8de9e7e · outbound

This paper cites Edge states and the $\eta$ invariant.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Edge states and the $\eta$ invariant

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:32.778459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:26.337691Z digest=sha256:25d0e24d88e6ca3a229c1b4dc1d5726a0b7a11533ca3a0f6c960de99ac40d1c8

Observation 88e1f9ad-955a-4873-9750-93cee31e6f83 · outbound

This paper cites Jackiw and C.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Jackiw and C

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:09:35.810431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:26.449411Z digest=sha256:bb0c46e663c1d42891e48fc02520c8d5c306763f97e987ade94ebf7a66154421

Observation 7258f48c-7330-464d-8b89-94689238b19c · outbound

This paper cites Goldstone and F.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Goldstone and F

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:09:35.585122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:26.631606Z digest=sha256:cb0c6477ebf392de43993e717f86607dd27a27e1312cdde89efae310973030a2

Observation 25edf7b1-34ec-4345-a950-8ff333aa8be9 · outbound

This paper cites Jackiw and J.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Jackiw and J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:09:35.393739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:26.791644Z digest=sha256:e8d0534cd0145666331c0a7a10f5b3d362036260c34f3ad64db5ec1165260dbb

Observation 08f2be50-1176-45df-a837-ea5c1e20069c · outbound

This paper cites an unresolved cited work.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:09:35.210670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:26.895547Z digest=sha256:848018dbbd0b1d0f142ad6e01354c772d2003a180ad8a51f7390ca0ffcf50861

Observation a9443861-f88e-419e-b2c0-0430788a776e · outbound

This paper cites an unresolved cited work.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:09:35.049803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:26.993830Z digest=sha256:a1ba0ccd5a793892f7bbf9d24b16cccbd789d2dc28b8ee9883d778d4b9d0bba3

Observation 38f8dc6d-8d3f-48cc-9953-0fb120fe4446 · outbound

This paper cites an unresolved cited work.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T14:09:27.137468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:09:27.137468Z digest=sha256:0a6ed71f05d47b39e2364c608b20b964fc593eaa076e0c4371df71ae0d36adaa

Observation 02449d69-5705-4e36-9416-de05c7c8e8d6 · outbound

This paper cites an unresolved cited work.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:09:34.911546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:27.228666Z digest=sha256:a997e8c6d59fd606dfc2023f0731cb7de53685513d64266bdf3654517a266ea2

Observation 2aa40703-6c28-4e0c-9c1a-cc7152adf692 · outbound

This paper cites an unresolved cited work.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:09:34.769024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:27.377402Z digest=sha256:1088520ca405326fd13c19690daee13e048f414413e7130aca40b3971899077b

Observation cf1cdb7b-f058-4db6-8d2f-ca9ac88ecac5 · outbound

This paper cites Charged Vortex in Superconductor.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Charged Vortex in Superconductor

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:32.567384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:27.481852Z digest=sha256:141ff191c93861dae25c6ac221056529cc78ffa27044a767cb5abff1e5cd30fe

Observation a5844819-8a37-440e-80da-7aa2d4d9d4d5 · outbound

This paper cites Quantum corrections to the mass of the supersymmetric vortex.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Quantum corrections to the mass of the supersymmetric vortex

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:32.374748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:27.587245Z digest=sha256:e7ca879ca0d52dcc2f587727144da629c0c04b93d9729ea39170f6abb4cbea59

Observation 075e305b-1952-4e78-9c66-ed035b7149c4 · outbound

This paper cites Nonvanishing quantum corrections to the mass and central charge of the N=2 vortex and BPS saturation.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Nonvanishing quantum corrections to the mass and central charge of the N=2 vortex and BPS saturation

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:32.104318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:27.696024Z digest=sha256:0eedafb54d239b419a6c6800382ce8f57eed08128df2121dc66ecedd35a6f93d

Observation f72fb497-1d50-4645-9fc1-0a01a46961cc · outbound

This paper cites Fermionic Vacuum Energy from a Nielsen-Olesen Vortex.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Fermionic Vacuum Energy from a Nielsen-Olesen Vortex

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:31.867236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:27.787251Z digest=sha256:826f972f782176130543347b19060e850f456cc3bc0385a0f71aed0f14545fdf

Observation e9e8fbc8-f2d2-4de9-b736-eccbe30ec105 · outbound

This paper cites Quantum corrections to the mass of self-dual vortices.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Quantum corrections to the mass of self-dual vortices

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:31.654856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:27.924690Z digest=sha256:e106bfc919588b52e5c5528eb4083dce0834f00101e953167ce23524da954a52

Observation 66edbe6f-e37c-4d2e-b677-888b86a4822d · outbound

This paper cites Quantum QED Flux Tubes in 2+1 and 3+1 Dimensions.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Quantum QED Flux Tubes in 2+1 and 3+1 Dimensions

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:31.434928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:28.030938Z digest=sha256:9af58ac3b5cfc4f1f0f4e5c5f7b659676b0d36553e35eaec2d9a30a36df5a8b1

Observation e9e403d9-8b69-424d-b364-10a283aa912e · outbound

This paper cites Quantum magnetic flux lines, BPS vortex zero modes, and one-loop string tension shifts.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Quantum magnetic flux lines, BPS vortex zero modes, and one-loop string tension shifts

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:31.284156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:28.148056Z digest=sha256:97d8314efeebec84a5873034930a5e09e31b7bd1ef7cc1f35f693f8e1b051ca7

Observation cefb8b91-fac2-4541-9666-6a7b0ebcd45f · outbound

This paper cites Quantum energies of BPS vortices in $D=2+1$ and $D=3+1$.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Quantum energies of BPS vortices in $D=2+1$ and $D=3+1$

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:31.057441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:28.304237Z digest=sha256:dabfe61f7f0856173b489e04069e8b5da8678ecf82bb71724a75e35624214dea

Observation ddda42f0-8e28-4dbe-ab95-e6047f3cdc24 · outbound

This paper cites Electron fractionalization for two-dimensional Dirac fermions.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Electron fractionalization for two-dimensional Dirac fermions

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:30.796824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:28.379604Z digest=sha256:ab0e49f9a4046e88758ef26da22c9b4529d4801419244c0f227039cf23bd9678

Observation 6ce46b1c-ee32-46e1-8def-6614cc7e1003 · outbound

This paper cites Jackiw and P.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Jackiw and P

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:09:34.437436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:28.480965Z digest=sha256:da25f14361d8e030852b1dc023a5d4b2cf70e1b123a22eebf3de7ef6f51632b5

Observation fc91f676-f61e-4595-ad9c-15fb18b37846 · outbound

This paper cites Non-topological fractional fermion number in the Jackiw-Rossi model.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Non-topological fractional fermion number in the Jackiw-Rossi model

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:30.563545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:28.656356Z digest=sha256:ade1e65d71468f034d9bb1d77ddf013233b5a9ec7f89e6e313593a0969419e69

Observation b623f7d7-bd6c-4210-81c9-7c898b5d699d · outbound

This paper cites Soliton Fermionic number from the heat kernel expansion.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Soliton Fermionic number from the heat kernel expansion

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:30.369420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:28.782747Z digest=sha256:f4e60aa21437897a4027fd5570ff3121a1b5019db482100b4141eace4ba93127

Observation 2d6c5fbf-14ef-4e14-85a5-ea7cc552eeff · outbound

This paper cites an unresolved cited work.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:09:34.175623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:28.890256Z digest=sha256:4859a1be81efb203c959501928e8b9d3382638fb203a6ea53ed91655c001d15c

Observation 63ea5888-d9c9-4279-ad7c-491844171f02 · outbound

This paper cites Universal structure of the edge states of the fractional quantum Hall states.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Universal structure of the edge states of the fractional quantum Hall states

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:09:30.100664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:29.001027Z digest=sha256:45771919a61b5716d07e2fa3eafab73d452750ce0d896c8bccd7d470798c6f6c

Observation 9f7b6fae-0594-4385-8aef-815063ccd081 · outbound

This paper cites Alvarez-Gaume, S.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Alvarez-Gaume, S

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:09:34.008644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:29.136645Z digest=sha256:2cccc9e22108c49237fc2f5535dd1dac87438bffb8653c8d299ea59476edcad5

Observation 689df9a2-062a-4f76-9172-532651faa2f3 · outbound

This paper cites an unresolved cited work.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:09:33.783501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:29.231410Z digest=sha256:d68bb602f86121d785f6680e39262c4d99630640138ddc9a23ba31b3b54ecf3d

Observation 1bdd0789-6d39-4b02-99f0-43b88c2fb8ab · outbound

This paper cites an unresolved cited work.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:09:33.588953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:29.366380Z digest=sha256:4c21f92749d6d34e78ded63dad0fad083486ad73aa7199b104f555f9350c3f55

Observation eb97d1a2-e440-4835-b79c-4f13f3cc474c · outbound

This paper cites Gravitational parity anomaly with and without boundaries.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Gravitational parity anomaly with and without boundaries

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-07T14:09:29.472439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:09:29.472439Z digest=sha256:2449c513c9ed313e1ed45a13a6dec4d0a7c015f55dc37dd6b4901e337b644c22

Observation ef5ab18f-4df1-4a28-89e1-3da6efc6efb5 · outbound

This paper cites Heat kernel expansion: user's manual.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Heat kernel expansion: user's manual

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-07T14:09:29.593644Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:09:29.593644Z digest=sha256:7f100ffd0f740098d847182379a26bbd84244ad451b3b9065d42e655ca8b1a9f

Observation abfcc41b-e825-46d3-a9c3-e181d3e98dc1 · outbound

This paper cites an unresolved cited work.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:09:33.297140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:29.725988Z digest=sha256:a33edd15729afaf9c5965fe05bd14ced95870c78f79376835bd24eb44aa7a4b9

Observation c56f5851-93d8-4171-8c73-1fa2556c60d6 · outbound

This paper cites Fursaev and D.

Vortex Fractional Fermion Number through Heat Kernel methods and Edge States Fursaev and D

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:09:33.018718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:09:29.823241Z digest=sha256:75a1bc24f67fb0d570cc38bcbfdefc434265208cee2bf08ae721ec98b9148e5a

Pith citing papers

No inbound Pith citation observations are available.