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Paper Citation Record · LEDGER

Path-ordered linked product approximation to the global electronic overlap matrix

As of 17 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 4 inbound Pith citation observations for arXiv:2501.05003.

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

pith.paper-citation-record.v1
2501.05003 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:24:07.557203Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:08:48.467406Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

22 of 22 outbound references displayed

  • verified exact1
  • verified fuzzy12
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 7b189824-7f6e-4a0e-b8fe-2c33cfe4c5b4 · outbound

This paper cites Domcke, D.

Path-ordered linked product approximation to the global electronic overlap matrix Domcke, D

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:24:07.892003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T21:24:07.466042Z digest=sha256:65f68d79b6b4039508b7b88248b6d21a87905f38c18b4975718ab3436714a819

Observation f1491bf0-df0a-4e34-87d2-18a9ddd32d2c · outbound

This paper cites Larson, E.

Path-ordered linked product approximation to the global electronic overlap matrix Larson, E

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:24:07.878604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T21:24:07.471140Z digest=sha256:b0135e80b42afbdc4a1577a6fcc21acd97fef262d8714370e0b8d73bba0d6fcb

Observation 6330adb7-6682-4242-9dc9-2a76db407cf5 · outbound

This paper cites an unresolved cited work.

Path-ordered linked product approximation to the global electronic overlap matrix Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:24:07.865352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T21:24:07.475553Z digest=sha256:1cefa9974b5e2fb5400ea293a9922f3dc4c646c5b4724456655c33e70745a92e

Observation c7bcdaab-f0cf-40e3-b4a9-19e50222eb59 · outbound

This paper cites Kowalewski and S.

Path-ordered linked product approximation to the global electronic overlap matrix Kowalewski and S

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:24:07.851949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T21:24:07.480246Z digest=sha256:4bfd1611c2e39ae2b5186817f13c5eafdab322eb62060b3f3afffd38fe1dc744

Observation 249906d0-0376-42da-94a1-42900a09962a · outbound

This paper cites Gu and S.

Path-ordered linked product approximation to the global electronic overlap matrix Gu and S

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:24:07.838067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T21:24:07.484403Z digest=sha256:4dd1cdb68fe8a5632f556ee0f134d6aec049574c55c2a5fc4ac152e97f3c3b1e

Observation fb48eb2d-7f53-4a01-ba3b-fd8b1b09783f · outbound

This paper cites Gu and S.

Path-ordered linked product approximation to the global electronic overlap matrix Gu and S

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:24:07.824325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T21:24:07.488643Z digest=sha256:b65037f0bec93079b241a1724d8355ab99de9b96070097c470f99617682d11e7

Observation 57356c2f-9f27-4718-824d-e2fa0c74e1af · outbound

This paper cites Quantum field theory for spin operator of the photon.

Path-ordered linked product approximation to the global electronic overlap matrix Quantum field theory for spin operator of the photon

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-10T21:24:07.598911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T21:24:07.493602Z digest=sha256:b3721dc28016d2a0080e138325a265a0a7fbadcd4113a9cc1892994a0016480a

Observation 1013c331-14b8-4133-8f32-0485690cfd51 · outbound

This paper cites an unresolved cited work.

Path-ordered linked product approximation to the global electronic overlap matrix Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:24:07.809726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T21:24:07.497966Z digest=sha256:05670112f9d48bc8e2ce88016ca3222eef77023220e473316c190e4b6ef0c87b

Observation a036cddb-457a-4cef-96fd-477aca82a543 · outbound

This paper cites an unresolved cited work.

Path-ordered linked product approximation to the global electronic overlap matrix Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:24:07.795519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T21:24:07.501745Z digest=sha256:e67096648c87241483661a6129ce43dbdc7f9b323d1c14de88b7d0d10e3d719f

Observation 77201071-f279-48c0-a150-a4eb3d849db0 · outbound

This paper cites Zhu and B.

Path-ordered linked product approximation to the global electronic overlap matrix Zhu and B

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:24:07.780874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T21:24:07.505982Z digest=sha256:f49b15aa73554a0036be5ea458443384ea209a82f1d48f860a6baeeb5de7add3

Observation 71869bb9-d136-4de2-8af7-9c02dd2b432c · outbound

This paper cites Aleotti, D.

Path-ordered linked product approximation to the global electronic overlap matrix Aleotti, D

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:24:07.767930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T21:24:07.510043Z digest=sha256:c0c0868a6889686072cb7057a2d63cb4dad6b33f377a8587ac1cf10648e40ef5

Observation 2ef7c6bc-19ce-4487-a344-5cb93c8cb397 · outbound

This paper cites an unresolved cited work.

Path-ordered linked product approximation to the global electronic overlap matrix Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:24:07.753940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T21:24:07.513864Z digest=sha256:ee81306c9a579b789ee75f5e2323bd53a57ff2b0f7f4fd25483340dea4a301ac

Observation deb1f8bb-25b2-40bb-b6cb-3e9a0265eeaf · outbound

This paper cites Gu, A Discrete-Variable Local Diabatic Representa- tion of Conical Intersection Dynamics, J.

Path-ordered linked product approximation to the global electronic overlap matrix Gu, A Discrete-Variable Local Diabatic Representa- tion of Conical Intersection Dynamics, J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:24:07.741607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T21:24:07.517954Z digest=sha256:a29538219c408df3931597b6112e9f7eb276867c32bccbe6a5db2c74fa4c4835

Observation ea08a74d-ac31-4492-b225-dd0531f3a795 · outbound

This paper cites Gu, Nonadiabatic Conical Intersection Dynamics in the Local Diabatic Representation with Strang Splitting and Fourier Basis, J.

Path-ordered linked product approximation to the global electronic overlap matrix Gu, Nonadiabatic Conical Intersection Dynamics in the Local Diabatic Representation with Strang Splitting and Fourier Basis, J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:24:07.729106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T21:24:07.522109Z digest=sha256:6f2d0ca4a40541fc9e72627743a220cdaa78af410fec6e1dd9f821b7abe4b238

Observation 7c3db398-80d7-4738-a468-589027d17351 · outbound

This paper cites Shin and H.

Path-ordered linked product approximation to the global electronic overlap matrix Shin and H

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:24:07.715988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T21:24:07.525892Z digest=sha256:28296e38d7af31dda730a81a54992c56ab11bfe10a0bd284a922d247cf7c1331

Observation c65ef25b-1214-4098-a62b-46a63dd628cc · outbound

This paper cites Shin and S.-I.

Path-ordered linked product approximation to the global electronic overlap matrix Shin and S.-I

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:24:07.702560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T21:24:07.530421Z digest=sha256:5a741b8794f25e826fce5bbe49c2996367478d583ce36049b85e4d7281625da3

Observation d4f99e32-c9a4-4429-944a-bcf8283a0d17 · outbound

This paper cites an unresolved cited work.

Path-ordered linked product approximation to the global electronic overlap matrix Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:24:07.688364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T21:24:07.534920Z digest=sha256:ae85ba77edadb3c596c373cd62019711b6f93d22771c2c806c9bab88671ac193

Observation e1e1fe4b-e0f2-4579-b700-f3c7613e27e4 · outbound

This paper cites an unresolved cited work.

Path-ordered linked product approximation to the global electronic overlap matrix Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:24:07.673249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T21:24:07.539447Z digest=sha256:9c3ac27335e22ec388406a57a1796527fe0d300eb9e3ab3dbb76db327df27d38

Observation 22858274-0d63-4dfc-80ca-41b64b614bb8 · outbound

This paper cites an unresolved cited work.

Path-ordered linked product approximation to the global electronic overlap matrix Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:24:07.658702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T21:24:07.544045Z digest=sha256:0609ae44aff744513118097ad09f1b34ede9eaf2283a43530fcbf82b73de432b

Observation 6791947f-0810-41a5-9313-41915394a5ac · outbound

This paper cites Lu and J.

Path-ordered linked product approximation to the global electronic overlap matrix Lu and J

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:24:07.643999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T21:24:07.548456Z digest=sha256:5743333136a96bf187b847d4e68078d82e635c9f6a9c8a3f03c90c4bffde8e68

Observation cdcbe61a-5838-43db-8108-e28956f042f1 · outbound

This paper cites an unresolved cited work.

Path-ordered linked product approximation to the global electronic overlap matrix Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:24:07.628985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T21:24:07.552727Z digest=sha256:44cf40b9c4c9118daaffeb4ba594dccd73a85918c427dea7bd2bc8331f94df86

Observation 0564daed-9e25-427a-a7a5-0432dc77a6b7 · outbound

This paper cites an unresolved cited work.

Path-ordered linked product approximation to the global electronic overlap matrix Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:24:07.614333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T21:24:07.557203Z digest=sha256:90119aafd164702a81560038d7a7a8a6c5c28ada3f813fec19f9be5ef53ccfc3

Pith citing papers

Observation 933ba628-d648-4305-a706-0fb8ef9f7f12 · inbound

Topological Quantum Molecular Dynamics cites this paper.

Topological Quantum Molecular Dynamics Path-ordered linked product approximation to the global electronic overlap matrix

Reference 75

Resolution
unresolved
no resolver link, observed 2026-08-15T21:08:48.467406Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:08:48.467406Z digest=sha256:ee9ef5961cb7ca27e62cca7450f43ea9dec5dcc6afcfae9f8f4f075ecdffa392

Observation bcea739d-1d58-4d70-bc4c-033d8bd1e825 · inbound

Exponential convergence of the local diabatic representation for nonadiabatic models cites this paper.

Exponential convergence of the local diabatic representation for nonadiabatic models Path-ordered linked product approximation to the global electronic overlap matrix

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-25T07:46:42.129216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-05-25T07:45:33.846221Z digest=sha256:d6001b8ad6e4ff52746639cfe96a7f8233f0a3a40cf6f4dd0ab7bc747bc7c0ed

Observation 330d8e9f-31df-42bf-a361-0beefe108323 · inbound

Nonadiabatic Renormalization Group for Strongly Coupled Multiscale Quantum Systems cites this paper.

Nonadiabatic Renormalization Group for Strongly Coupled Multiscale Quantum Systems Path-ordered linked product approximation to the global electronic overlap matrix

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-05-12T10:01:29.170475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-07T08:14:31.774304Z digest=sha256:16734c40c6b47344589d8edb62afd56478ca6c8745e988030ebdce2f42db5089

Observation 16a30695-787d-4b91-919b-93a94302865e · inbound

Constrained Optimization Algorithms for Orbital Optimization in Quantum Chemistry cites this paper.

Constrained Optimization Algorithms for Orbital Optimization in Quantum Chemistry Path-ordered linked product approximation to the global electronic overlap matrix

Reference 32

Resolution
metadata mismatch
arxiv_id, observed 2026-06-26T22:20:10.030701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-26T22:16:47.687753Z digest=sha256:497b0dbf1131d72e0beed620e4aeb2f38f7f027b25bf30124104436c1933896c