Pith Number

pith:NC3MF77R

pith:2013:NC3MF77R3M5ACXQABHG7VS7KDG

not attested not anchored not stored refs pending

Four quotient set gems

Bob Lutz, Bryan Brown, Michael Dairyko, Michael Someck, Stephan Ramon Garcia

arxiv:1312.1036 v1 · 2013-12-04 · 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{NC3MF77R3M5ACXQABHG7VS7KDG}

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	2026-05-18T03:05:35.110892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68b6c2fff1db3a015e0009cdfacbea199f98f335f90bffe073a2a7a03d4b1f11

Aliases

arxiv: 1312.1036 · arxiv_version: 1312.1036v1 · doi: 10.48550/arxiv.1312.1036 · pith_short_12: NC3MF77R3M5A · pith_short_16: NC3MF77R3M5ACXQA · pith_short_8: NC3MF77R

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/NC3MF77R3M5ACXQABHG7VS7KDG \
  | 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: 68b6c2fff1db3a015e0009cdfacbea199f98f335f90bffe073a2a7a03d4b1f11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14494acd716f12b508268d33d01fbb8777a63b41dbff6acef3698cf760005f2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-04T06:18:27Z",
    "title_canon_sha256": "abdd55fd499566593618b0c35326aae62d91a6bf6a4418a6742c7a902c113c88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1036",
    "kind": "arxiv",
    "version": 1
  }
}