Pith Number

pith:76IAWVFR

pith:2014:76IAWVFRHXVGKFH73QBVOD4IR2

not attested not anchored not stored refs pending

Robert F. Coleman 1954-2014

Barry Mazur, Ken Ribet, Matthew Baker

arxiv:1411.3655 v2 · 2014-11-13 · math.NT · math.AG · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{76IAWVFRHXVGKFH73QBVOD4IR2}

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	2026-05-18T02:29:10.313847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff900b54b13dea6514ffdc03570f888e9e796088fc948d9dfcd1a7ef7ffb1390

Aliases

arxiv: 1411.3655 · arxiv_version: 1411.3655v2 · doi: 10.48550/arxiv.1411.3655 · pith_short_12: 76IAWVFRHXVG · pith_short_16: 76IAWVFRHXVGKFH7 · pith_short_8: 76IAWVFR

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/76IAWVFRHXVGKFH73QBVOD4IR2 \
  | 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: ff900b54b13dea6514ffdc03570f888e9e796088fc948d9dfcd1a7ef7ffb1390

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "153451fd005247630b1c16e2f993693f78db23aabfa76357a9469804fb4d5e2f",
    "cross_cats_sorted": [
      "math.AG",
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-11-13T18:34:33Z",
    "title_canon_sha256": "e0cd4381c17a8e91d264e4c6d71db44fa6ce1958d1d6edfe449b2bbb0b83a940"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3655",
    "kind": "arxiv",
    "version": 2
  }
}