Paper Citation Record · LEDGER

Proof of the Quantum Null Energy Condition

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:1509.02542.

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

pith.paper-citation-record.v1
1509.02542 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T11:44:45.611016Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T17:57:26.126663Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 5def09e7-266c-44e1-afb7-e1d6fee78779 · inbound

Entropy Variations and Light Ray Operators from Replica Defects cites this paper.

Entropy Variations and Light Ray Operators from Replica Defects Proof of the Quantum Null Energy Condition

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-05-25T20:07:08.432845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 163c7538-4668-4707-b5a3-1db7dcd30f8a · inbound

Geometric modular flows in 2d CFT and beyond cites this paper.

Geometric modular flows in 2d CFT and beyond Proof of the Quantum Null Energy Condition

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-09T11:44:45.611016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e2e9fc9f-d306-4e46-a6d8-2044fc84c9d2 · inbound

Tests of restricted Quantum Focusing and a new CFT bound cites this paper.

Tests of restricted Quantum Focusing and a new CFT bound Proof of the Quantum Null Energy Condition

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T09:45:22.154138Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78261560-757d-4d79-bd23-b6a046f9fd97 · inbound

Curious QNEIs from QNEC: New Bounds on Null Energy in Quantum Field Theory cites this paper.

Curious QNEIs from QNEC: New Bounds on Null Energy in Quantum Field Theory Proof of the Quantum Null Energy Condition

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-05-18T03:32:21.800462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c7bacb01-c0ae-444e-9cf7-fce22a97766a · inbound

Black hole thermodynamics at null infinity. Part 1: Dual Generalized Second Law cites this paper.

Black hole thermodynamics at null infinity. Part 1: Dual Generalized Second Law Proof of the Quantum Null Energy Condition

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-04T06:37:24.537007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4377a63-0560-427a-8ecd-42db78eb8b03 · inbound

A general proof of integer R\'enyi QNEC cites this paper.

A general proof of integer R\'enyi QNEC Proof of the Quantum Null Energy Condition

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-05-19T15:52:38.182970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0a72e704-21ae-46b7-9b18-f9c322d51574 · inbound

Modave lectures on energy conditions in quantum field theory and semi-classical gravity cites this paper.

Modave lectures on energy conditions in quantum field theory and semi-classical gravity Proof of the Quantum Null Energy Condition

Reference 46

Resolution: verified exact; local_arxiv, observed 2026-05-20T08:53:10.116233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a6737369-22b3-49f9-87a4-27aa86468bad · inbound

No off-diagonal quantum focusing for R\'enyi divergences cites this paper.

No off-diagonal quantum focusing for R\'enyi divergences Proof of the Quantum Null Energy Condition

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-07-10T17:57:26.127895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9342f422-88f6-4301-987c-44fd4613a0ee · inbound

Universality of Magic in Local Quantum Field Theory cites this paper.

Universality of Magic in Local Quantum Field Theory Proof of the Quantum Null Energy Condition

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T21:09:30.262550Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.