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Paper Citation Record · LEDGER

Heisenberg-Euler and the Quantum Dilogarithm

As of 4 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 1 inbound Pith citation observation for arXiv:2512.14915.

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

pith.paper-citation-record.v1
2512.14915 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-16T21:27:36.918013Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T08:23:53.223795Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

40 of 40 outbound references displayed

  • verified exact15
  • verified fuzzy20
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6a65567a-8bd6-4acd-97c4-d37a7d4c362d · outbound

This paper cites Folgerungen aus der Diracschen Theorie des Positrons.

Heisenberg-Euler and the Quantum Dilogarithm Folgerungen aus der Diracschen Theorie des Positrons

Reference 1

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation f43fc3c8-ccbd-49e0-a5bf-270675ab74de · outbound

This paper cites ¨Uber die Elektrodynamik des Vakuums auf Grund der Quantentheorie des Elektrons.

Heisenberg-Euler and the Quantum Dilogarithm ¨Uber die Elektrodynamik des Vakuums auf Grund der Quantentheorie des Elektrons

Reference 2

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Observation 1e9392ad-b7a8-477e-88ef-00188bf28cf9 · outbound

This paper cites Pair Production by a Constant External Field.

Heisenberg-Euler and the Quantum Dilogarithm Pair Production by a Constant External Field

Reference 3

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source=pdf_text observed=2026-05-16T21:27:36.918013Z digest=sha256:7ea2a8b3932306f445615132dfa6528d915fa5f2ba8c3f5720eb574cf2c58661

Observation acf9171b-a042-472c-9c3f-6825bffc9130 · outbound

This paper cites Dittrich and M.

Heisenberg-Euler and the Quantum Dilogarithm Dittrich and M

Reference 4

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source=pdf_text observed=2026-05-16T21:27:36.918013Z digest=sha256:c870d70039ca85225ab65bb48e9e8fbf540835bacd83bb83e01f7e825e165350

Observation aa4b9abd-f718-47c5-b96e-de34d4c90674 · outbound

This paper cites Dittrich and H.

Heisenberg-Euler and the Quantum Dilogarithm Dittrich and H

Reference 5

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source=pdf_text observed=2026-05-16T21:27:36.918013Z digest=sha256:b0f105892f10c29c4830091a6a1fe62688a5e6c4b8e08bfc4e14fe6613e38884

Observation 972f698f-51e2-4c36-883a-1f5c8124603e · outbound

This paper cites Heisenberg-Euler Effective Lagrangians : Basics and Extensions.

Heisenberg-Euler and the Quantum Dilogarithm Heisenberg-Euler Effective Lagrangians : Basics and Extensions

Reference 6

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local_arxiv, observed 2026-05-16T21:28:33.616172Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation b0abfb42-7751-4754-9253-1bb2975dad4d · outbound

This paper cites an unresolved cited work.

Heisenberg-Euler and the Quantum Dilogarithm Unresolved cited work

Reference 7

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Observation 64afad02-9d90-47c6-a266-5faa70da328b · outbound

This paper cites Quantum electrodynamics. I. A covariant formulation.

Heisenberg-Euler and the Quantum Dilogarithm Quantum electrodynamics. I. A covariant formulation

Reference 8

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source=pdf_text observed=2026-05-16T21:27:36.918013Z digest=sha256:252f16bf8b01aead3561531da96a50a417b51bec30d53dda8853ab3948af6215

Observation bc608efc-01d7-4a87-9965-7096adfbc75f · outbound

This paper cites On Gauge Invariance and Vacuum Polarization.

Heisenberg-Euler and the Quantum Dilogarithm On Gauge Invariance and Vacuum Polarization

Reference 9

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source=pdf_text observed=2026-05-16T21:27:36.918013Z digest=sha256:be8c69d43dcb18eb4046ddc1588b72f46bcd520faf7db9e5915cc422fc21570d

Observation c83a710c-5979-43f5-91af-1c96fb489447 · outbound

This paper cites Space - time approach to quantum electrodynamics.

Heisenberg-Euler and the Quantum Dilogarithm Space - time approach to quantum electrodynamics

Reference 10

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source=pdf_text observed=2026-05-16T21:27:36.918013Z digest=sha256:0e1d053f4cdebaf6a2a45fb586cee1d69b60b17fe248e10f6249fc072ee7abd9

Observation 1308200a-6e95-4cd1-971e-ebbd4a626809 · outbound

This paper cites Mathematical formulation of the quantum theory of electromagnetic interaction.

Heisenberg-Euler and the Quantum Dilogarithm Mathematical formulation of the quantum theory of electromagnetic interaction

Reference 11

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source=pdf_text observed=2026-05-16T21:27:36.918013Z digest=sha256:ba5e46ce54a1f237d4a1b55e1e6072da9fbead904f8cf12b2f7f8f2120f134d8

Observation 350f2fd1-1028-40e9-bf9c-1f2284a9b083 · outbound

This paper cites The Use of the Proper Time in Quantum Electrodynamics I.

Heisenberg-Euler and the Quantum Dilogarithm The Use of the Proper Time in Quantum Electrodynamics I

Reference 12

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Observation 54411250-4555-4409-8bc7-7d862d5e899c · outbound

This paper cites On the definition and approximation of Feynman’s path integrals.

Heisenberg-Euler and the Quantum Dilogarithm On the definition and approximation of Feynman’s path integrals

Reference 13

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source=pdf_text observed=2026-05-16T21:27:36.918013Z digest=sha256:9481e97f9fe24e8603d2513efa0a8f083b57bae74dd7ce56cbf3fb16ec43b683

Observation 80da57c8-d537-412e-b14c-dbd06e9465a0 · outbound

This paper cites High-order perturbation theory and its application to atoms in strong fields.

Heisenberg-Euler and the Quantum Dilogarithm High-order perturbation theory and its application to atoms in strong fields

Reference 14

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Observation 9e4650e3-0aa3-4c6e-9077-33d9347b5c06 · outbound

This paper cites On the Prospect of Studying Nonperturbative QED with Beam-Beam Collisions.

Heisenberg-Euler and the Quantum Dilogarithm On the Prospect of Studying Nonperturbative QED with Beam-Beam Collisions

Reference 15

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local_arxiv, observed 2026-05-16T21:28:33.582936Z

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source=pdf_text observed=2026-05-16T21:27:36.918013Z digest=sha256:3d34ee655a5a38fdb19797cc04adc4c4d20e7b4ec1e62c8cb2c1d75689a255a1

Observation b9013ea8-828f-491b-8c4f-61324088ba0b · outbound

This paper cites Understanding the Fully Non-Perturbative Strong-Field Regime of QED.

Heisenberg-Euler and the Quantum Dilogarithm Understanding the Fully Non-Perturbative Strong-Field Regime of QED

Reference 16

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source=pdf_text observed=2026-05-16T21:27:36.918013Z digest=sha256:96ebd636e37ad3cf01d9abe3e086c1acbd78b5a03101fe322908465e9411dde6

Observation d159a368-c563-4243-923d-d7da292ca47e · outbound

This paper cites Conceptual Design Report for the LUXE Experiment.

Heisenberg-Euler and the Quantum Dilogarithm Conceptual Design Report for the LUXE Experiment

Reference 17

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arxiv_id, observed 2026-05-16T21:28:33.612635Z

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Observation b2f97e92-64b8-4a62-9dee-d0522512e995 · outbound

This paper cites On measuring stimulated photon–photon scattering using multiple ultraintense lasers.

Heisenberg-Euler and the Quantum Dilogarithm On measuring stimulated photon–photon scattering using multiple ultraintense lasers

Reference 18

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arxiv_id, observed 2026-05-16T21:28:33.587140Z

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source=pdf_text observed=2026-05-16T21:27:36.918013Z digest=sha256:ac34cde9d648a0bf899f1fc85a34c54406bf813103f35a4bd0a8e829ac3e2f67

Observation aa1e5c28-7490-45a4-9037-c0d839fdbb10 · outbound

This paper cites Input to the European Strategy for Particle Physics: Strong-Field Quantum Electrodynamics.

Heisenberg-Euler and the Quantum Dilogarithm Input to the European Strategy for Particle Physics: Strong-Field Quantum Electrodynamics

Reference 19

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arxiv_id, observed 2026-05-16T21:28:33.559960Z

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source=pdf_text observed=2026-05-16T21:27:36.918013Z digest=sha256:58c1fe15833b09a921d7900b68c4af8506b0ca6af5a8517fad6bad2278c62d8c

Observation 7af1e723-ec10-4782-a133-e3b031d43dbb · outbound

This paper cites Extremely high-intensity laser interactions with fundamental quantum systems.

Heisenberg-Euler and the Quantum Dilogarithm Extremely high-intensity laser interactions with fundamental quantum systems

Reference 20

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local_arxiv, observed 2026-05-16T21:28:33.591646Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 0ac99f82-2846-4476-a459-64bf73ccbaee · outbound

This paper cites Charged particle motion and radiation in strong electromagnetic fields.

Heisenberg-Euler and the Quantum Dilogarithm Charged particle motion and radiation in strong electromagnetic fields

Reference 21

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Observation 41ce75e1-f767-4a69-abac-98278ea00939 · outbound

This paper cites Advances in QED with intense background fields.

Heisenberg-Euler and the Quantum Dilogarithm Advances in QED with intense background fields

Reference 22

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Observation dbfe0176-8ad3-4c7f-90c2-16b65431ddf8 · outbound

This paper cites Dispersion representation for the Lagrange function of an intense field.

Heisenberg-Euler and the Quantum Dilogarithm Dispersion representation for the Lagrange function of an intense field

Reference 23

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source=pdf_text observed=2026-05-16T21:27:36.918013Z digest=sha256:3072c48d9ccd33a3793432b5801aa8285914bbdef1d98f464e44a42de6ff6df1

Observation d85603f6-353a-4aa3-89d3-864d1dac6471 · outbound

This paper cites Quantum Dilogarithm.

Heisenberg-Euler and the Quantum Dilogarithm Quantum Dilogarithm

Reference 24

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Observation 56bc85df-c262-4943-b359-905bc0dbe657 · outbound

This paper cites Dilogarithm identities.

Heisenberg-Euler and the Quantum Dilogarithm Dilogarithm identities

Reference 25

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source=pdf_text observed=2026-05-16T21:27:36.918013Z digest=sha256:b6c8da91eaab21cb242332549758ac62d8eaef14fde33a437e052a745e5cbce5

Observation 5e0a51b3-f83f-4320-84d7-5195b5073890 · outbound

This paper cites The Dilogarithm Function.

Heisenberg-Euler and the Quantum Dilogarithm The Dilogarithm Function

Reference 26

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source=pdf_text observed=2026-05-16T21:27:36.918013Z digest=sha256:9ecbc4f5be4bc6bf147867463178b80d8d6b4101fa0095b89a0f7ca638fa6d7e

Observation 22411103-f06c-40d3-89c9-f543f5ee3647 · outbound

This paper cites The Quantum Dilogarithm and Representations of Quantum Cluster Varieties.

Heisenberg-Euler and the Quantum Dilogarithm The Quantum Dilogarithm and Representations of Quantum Cluster Varieties

Reference 27

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Observation 6b0b5296-60f7-459b-a5f4-338fd3626075 · outbound

This paper cites Classical and Quantum Dilogarithm Identities.

Heisenberg-Euler and the Quantum Dilogarithm Classical and Quantum Dilogarithm Identities

Reference 28

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local_arxiv, observed 2026-05-16T21:28:33.571464Z

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Observation 6c754732-f76c-4758-9112-9800b3d74f87 · outbound

This paper cites Resurgence of Faddeev's quantum dilogarithm.

Heisenberg-Euler and the Quantum Dilogarithm Resurgence of Faddeev's quantum dilogarithm

Reference 29

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arxiv_id, observed 2026-05-16T21:28:33.608474Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 5e79c2eb-2598-4417-83ff-6cb84377e0e8 · outbound

This paper cites On S-Duality in Abelian Gauge Theory.

Heisenberg-Euler and the Quantum Dilogarithm On S-Duality in Abelian Gauge Theory

Reference 30

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local_arxiv, observed 2026-05-16T21:28:33.574941Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 33eb4907-760d-46ef-bc53-9121b955db68 · outbound

This paper cites an unresolved cited work.

Heisenberg-Euler and the Quantum Dilogarithm Unresolved cited work

Reference 31

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Observation d07f4883-b768-4ee8-84d6-58fffc45fe85 · outbound

This paper cites Resummations and Non-Perturbative Corrections.

Heisenberg-Euler and the Quantum Dilogarithm Resummations and Non-Perturbative Corrections

Reference 32

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local_arxiv, observed 2026-05-16T21:28:33.579186Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation d032d9a4-3bf4-4c92-8d57-526be948a29c · outbound

This paper cites QED Effective Action Revisited.

Heisenberg-Euler and the Quantum Dilogarithm QED Effective Action Revisited

Reference 33

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Observation 59d4f173-651e-489c-b6ea-8332f916f19a · outbound

This paper cites The Fermi-Dirac Integrals.

Heisenberg-Euler and the Quantum Dilogarithm The Fermi-Dirac Integrals

Reference 34

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source=pdf_text observed=2026-05-16T21:27:36.918013Z digest=sha256:f929162eee8d758091706bd4840f33f8be9c1f7d74cf9142cd5c899c49429f5e

Observation 625ece60-478a-4f6d-9cf9-b3e75595529c · outbound

This paper cites an unresolved cited work.

Heisenberg-Euler and the Quantum Dilogarithm Unresolved cited work

Reference 35

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation dc7da685-7379-48e4-b0df-6d71434d49da · outbound

This paper cites an unresolved cited work.

Heisenberg-Euler and the Quantum Dilogarithm Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-05-16T21:31:17.771166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 7932b2dc-8661-4a61-b4b8-c203ce9758bc · outbound

This paper cites S-duality resurgence in SL(2) Chern-Simons theory.

Heisenberg-Euler and the Quantum Dilogarithm S-duality resurgence in SL(2) Chern-Simons theory

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-05-16T21:28:33.567865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 5a45c561-98f5-48b2-8ac9-c377ac178e59 · outbound

This paper cites Resurgence of the Effective Action in Inhomogeneous Fields.

Heisenberg-Euler and the Quantum Dilogarithm Resurgence of the Effective Action in Inhomogeneous Fields

Reference 38

Resolution
verified exact
local_arxiv, observed 2026-05-16T21:28:33.600196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-16T21:27:36.918013Z digest=sha256:9be6deb585383582fa31abcabdf3f222515346eb86ad8719eff3c691ac6479fa

Observation 72f910f0-1cef-4ec0-9c9f-d8b280ab6fff · outbound

This paper cites Lagrangian of an intense electromagnetic field and quantum electrodynamics at short distances.

Heisenberg-Euler and the Quantum Dilogarithm Lagrangian of an intense electromagnetic field and quantum electrodynamics at short distances

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T21:31:17.752842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation df1fc266-23ca-4416-9116-7cabf3162f9b · outbound

This paper cites Three-loop Euler-Heisenberg Lagrangian in 1+1 QED, part 1: single fermion-loop part.

Heisenberg-Euler and the Quantum Dilogarithm Three-loop Euler-Heisenberg Lagrangian in 1+1 QED, part 1: single fermion-loop part

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-05-16T21:28:33.563768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-16T21:27:36.918013Z digest=sha256:37daa18a58f4d131d4a010f79ef14217200dffd59b1d1250e30339ba86eb5c06

Pith citing papers

Observation 2746d393-9fbf-47f1-941a-3a71fa8251eb · inbound

The Euler-Heisenberg action for a $U(1)\times U(1)$ dyon quantum electrodynamics cites this paper.

The Euler-Heisenberg action for a $U(1)\times U(1)$ dyon quantum electrodynamics Heisenberg-Euler and the Quantum Dilogarithm

Reference 80

Resolution
unresolved
no resolver link, observed 2026-07-14T08:23:53.223795Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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