Paper Citation Record · LEDGER

The Atiyah-Singer index theorem

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2107.03557.

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

pith.paper-citation-record.v1
2107.03557 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T23:52:38.832915Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-19T12:53:04.392241Z

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 c058a1bc-5a04-4c33-950f-5cdbbd329d50 · inbound

Quantum harmonic oscillator, index theorem and spectral asymmetry cites this paper.

Quantum harmonic oscillator, index theorem and spectral asymmetry The Atiyah-Singer index theorem

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-19T12:53:04.398239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b60d2f41-fc65-4ac6-aa25-e2c58d657d61 · inbound

Engineering Topological Materials cites this paper.

Engineering Topological Materials The Atiyah-Singer index theorem

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-05T23:52:38.832915Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b120814-72ae-471e-8c33-394fbe6b9bb7 · inbound

Magnetar field dynamics driven by chiral anomalies without magnetic helicity cites this paper.

Magnetar field dynamics driven by chiral anomalies without magnetic helicity The Atiyah-Singer index theorem

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-11T03:55:54.223636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8548386f-d526-4593-85f0-db09eb832d25 · inbound

Local Defects and the Topology of the Haldane Model cites this paper.

Local Defects and the Topology of the Haldane Model The Atiyah-Singer index theorem

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-11T13:46:30.420266Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b6d9778-516d-4ec4-9e2f-ab5b2db8ad86 · inbound

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice cites this paper.

Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice The Atiyah-Singer index theorem

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T19:34:09.910917Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.