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Paper Citation Record · LEDGER

Quantitative bounds in the inverse theorem for the Gowers $U^{s+1}$-norms over cyclic groups

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1811.00718.

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

pith.paper-citation-record.v1
1811.00718 v2

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 2026-08-11T06:34:44.6726+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T17:35:19.194643Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-16T14:33:00.201402Z

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 2eedf1ba-9180-428c-a716-c397b321aac1 · inbound

Spectral algorithms in higher-order Fourier analysis cites this paper.

Spectral algorithms in higher-order Fourier analysis Quantitative bounds in the inverse theorem for the Gowers $U^{s+1}$-norms over cyclic groups

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-10T17:35:19.194643Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:35:19.194643Z digest=sha256:3494b104cbc6d1ce9849af9d81d289914a72c8b096f821624eaf1dd05a85f7f7

Observation 5a8dcfaf-5fab-48eb-9a19-3ce13d557316 · inbound

On polynomial progressions via transference cites this paper.

On polynomial progressions via transference Quantitative bounds in the inverse theorem for the Gowers $U^{s+1}$-norms over cyclic groups

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-07T00:46:38.545621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:46:38.545621Z digest=sha256:7e841da8751b3aa96e970e2aa4fa440b4ac0defcbdabc57f2c6798d438aac8c8

Observation 9b9fa977-4d9c-4d79-b559-5c9c34acf34c · inbound

The Jamneshan-Tao conjecture for finite abelian groups of bounded rank cites this paper.

The Jamneshan-Tao conjecture for finite abelian groups of bounded rank Quantitative bounds in the inverse theorem for the Gowers $U^{s+1}$-norms over cyclic groups

Reference 22

Resolution
verified exact
arxiv_id, observed 2026-05-16T14:33:00.203330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-16T14:31:57.965723Z digest=sha256:b66c4c618bb262c1c2cc74ea24e8f4cc1322c3e5b36529232b840c2efb8874b1