Pith Number

pith:J7HVXYRF

pith:2005:J7HVXYRFMMAFJBZX3KWYBLDQ2M

not attested not anchored not stored refs pending

The Gaussian primes contain arbitrarily shaped constellations

Terence Tao

arxiv:math/0501314 v4 · 2005-01-20 · math.CO · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J7HVXYRFMMAFJBZX3KWYBLDQ2M}

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.

Receipt and verification

First computed	2026-05-18T04:05:16.767307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fcf5be2256300548737daad80ac70d32f444d9713f42da343cf47f68944c664

Aliases

arxiv: math/0501314 · arxiv_version: math/0501314v4 · doi: 10.48550/arxiv.math/0501314 · pith_short_12: J7HVXYRFMMAF · pith_short_16: J7HVXYRFMMAFJBZX · pith_short_8: J7HVXYRF

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/J7HVXYRFMMAFJBZX3KWYBLDQ2M \
  | 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: 4fcf5be2256300548737daad80ac70d32f444d9713f42da343cf47f68944c664

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd7c4fe72d49122cb59473723d8a0c3414b00548aced7254a3bdacf84c009723",
    "cross_cats_sorted": [
      "math.NT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2005-01-20T05:00:43Z",
    "title_canon_sha256": "3dd9cee59905ed4a956af22529ad198f072ae48d8231f0492fe2d1e7352d4051"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501314",
    "kind": "arxiv",
    "version": 4
  }
}