Pith Number

pith:ECIIWRRK

pith:2018:ECIIWRRK4AZ5OGCQKUC4J4SD2N

not attested not anchored not stored refs pending

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

Frederick Manners

arxiv:1811.00718 v2 · 2018-11-02 · math.CO · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECIIWRRK4AZ5OGCQKUC4J4SD2N}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

The Jamneshan-Tao conjecture for finite abelian groups of bounded rank

Receipt and verification

First computed	2026-07-05T07:45:42.942661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20908b462ae033d718505505c4f243d353448ec2843a3115d76c71872fbf75ad

Aliases

arxiv: 1811.00718 · arxiv_version: 1811.00718v2 · doi: 10.48550/arxiv.1811.00718 · pith_short_12: ECIIWRRK4AZ5 · pith_short_16: ECIIWRRK4AZ5OGCQ · pith_short_8: ECIIWRRK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ECIIWRRK4AZ5OGCQKUC4J4SD2N \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 20908b462ae033d718505505c4f243d353448ec2843a3115d76c71872fbf75ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4e3904059a6f9f22a9caccc7f3d84acce806be4b9fab3ee003ca192e82e8393",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-02T03:00:45Z",
    "title_canon_sha256": "32fa8583d3e40442bae0e583c3c9a17fd2eee300a60e343bbe18d8a655fee565"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.00718",
    "kind": "arxiv",
    "version": 2
  }
}