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Paper Citation Record · LEDGER

Undecidability of the Spectral Gap (full version)

As of 6 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1502.04573.

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

pith.paper-citation-record.v1
1502.04573 v5

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-23T18:00:24.865241Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T18:03:18.310281Z

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 d1b5d8ce-4b83-4333-b287-67e938d48b9f · inbound

A Hierarchy of Spectral Gap Certificates for Frustration-Free Spin Systems cites this paper.

A Hierarchy of Spectral Gap Certificates for Frustration-Free Spin Systems Undecidability of the Spectral Gap (full version)

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-23T18:03:18.313369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T18:00:24.865241Z digest=sha256:1a1ca7d71943221f73fc6ea5f662037ed834a3716c8ed3bab26f645da390b79e

Observation 137a2699-406e-491c-8fc1-543d3d03c938 · inbound

Local Topological Quantum Order and Spectral Gap Stability for the AKLT Models on the Hexagonal and Lieb Lattices cites this paper.

Local Topological Quantum Order and Spectral Gap Stability for the AKLT Models on the Hexagonal and Lieb Lattices Undecidability of the Spectral Gap (full version)

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-13T03:17:11.199579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-13T03:15:59.419092Z digest=sha256:5368de71892bcbfe6b496792865ff88272e9950588ccf86f696bf02f4dd20bba

Observation a43edb3f-aea8-4336-b447-0db7acde4d8b · inbound

Local Topological Quantum Order and Spectral Gap Stability for the AKLT Models on the Hexagonal and Lieb Lattices cites this paper.

Local Topological Quantum Order and Spectral Gap Stability for the AKLT Models on the Hexagonal and Lieb Lattices Undecidability of the Spectral Gap (full version)

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-19T17:47:41.706534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-19T17:44:55.617832Z digest=sha256:7d0cf034a5986f8b7815fa898410d84541c7b5ed2f23de5a45e046c79d32bf17