Pith Number

pith:S5A7UMX7

pith:2023:S5A7UMX7SXILKXTDKH2V6YWIL6

not attested not anchored not stored refs pending

The structure of totally disconnected Host--Kra--Ziegler factors, and the inverse theorem for the $U^k$ Gowers uniformity norms on finite abelian groups of bounded torsion

Asgar Jamneshan, Or Shalom, Terence Tao

arxiv:2303.04860 v1 · 2023-03-08 · math.DS · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S5A7UMX7SXILKXTDKH2V6YWIL6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

Spectral algorithms in higher-order Fourier analysis

Receipt and verification

First computed	2026-07-05T05:49:34.649815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9741fa32ff95d0b55e6351f55f62c85fa57db4fd1efd108a3ec0466e511d8c15

Aliases

arxiv: 2303.04860 · arxiv_version: 2303.04860v1 · doi: 10.48550/arxiv.2303.04860 · pith_short_12: S5A7UMX7SXIL · pith_short_16: S5A7UMX7SXILKXTD · pith_short_8: S5A7UMX7

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/S5A7UMX7SXILKXTDKH2V6YWIL6 \
  | 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: 9741fa32ff95d0b55e6351f55f62c85fa57db4fd1efd108a3ec0466e511d8c15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b415dd2fd172d795d89c191aff0f6b8ae3c379e48fcf2ffef48560203f426a94",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-03-08T19:55:42Z",
    "title_canon_sha256": "d50bebdf0b4438ff14dc0c7fd9fafc5f517db1291c8959dcc881877623919b43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.04860",
    "kind": "arxiv",
    "version": 1
  }
}