Paper Citation Record · LEDGER

Undecidability of the Spectral Gap in One Dimension

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:1810.01858.

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

pith.paper-citation-record.v1
1810.01858 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:58:41.265457Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T20:37:07.126478Z

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 bdcf097e-333f-48ef-9619-345f5950b7d6 · inbound

Closing gaps of a quantum advantage with short-time Hamiltonian dynamics cites this paper.

Closing gaps of a quantum advantage with short-time Hamiltonian dynamics Undecidability of the Spectral Gap in One Dimension

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-14T11:58:41.265457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc86607c-c405-4213-8266-833c8c8947dd · inbound

Improved local spectral gap thresholds for lattices of finite dimension cites this paper.

Improved local spectral gap thresholds for lattices of finite dimension Undecidability of the Spectral Gap in One Dimension

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T05:29:21.383291Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a11472e-3621-488b-9cd1-379c85913f5e · inbound

More on Intractability of Thermalization: (almost) i.i.d. inputs and finite lattices cites this paper.

More on Intractability of Thermalization: (almost) i.i.d. inputs and finite lattices Undecidability of the Spectral Gap in One Dimension

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-06T20:37:07.174699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 361fae10-98be-4fea-8f9a-192e85efdb94 · inbound

Undecidability of Hitting Times in Computably Described Quantum Dynamics: A No-Go Theorem for Universal Time Selection cites this paper.

Undecidability of Hitting Times in Computably Described Quantum Dynamics: A No-Go Theorem for Universal Time Selection Undecidability of the Spectral Gap in One Dimension

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T17:12:14.874662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.