Pith Number

pith:M7FVLAV2

pith:2010:M7FVLAV2I6QZCPCSA6EDUMLXHB

not attested not anchored not stored refs pending

Deterministic methods to find primes

D.H.J. Polymath

arxiv:1009.3956 v4 · 2010-09-20 · 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{M7FVLAV2I6QZCPCSA6EDUMLXHB}

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	2026-05-18T03:54:50.224874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67cb5582ba47a1913c5207883a31773840e11a9699fa97bdcc64a115f7702a69

Aliases

arxiv: 1009.3956 · arxiv_version: 1009.3956v4 · doi: 10.48550/arxiv.1009.3956 · pith_short_12: M7FVLAV2I6QZ · pith_short_16: M7FVLAV2I6QZCPCS · pith_short_8: M7FVLAV2

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/M7FVLAV2I6QZCPCSA6EDUMLXHB \
  | 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: 67cb5582ba47a1913c5207883a31773840e11a9699fa97bdcc64a115f7702a69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0f709f82f06beeafc20eaac367a9cc2e5c6aece301461f56beb852402080e48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-09-20T21:35:05Z",
    "title_canon_sha256": "c0898ed8291a2d12c95d204cea3125e854c56a08edb723901d8c8e10f3a9cd75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3956",
    "kind": "arxiv",
    "version": 4
  }
}