Pith Number

pith:5ZASVWX7

pith:2014:5ZASVWX7JJ3HIVKYGPY27XBJWW

not attested not anchored not stored refs pending

Triple Massey products vanish over all fields

Jan Minac, Nguyen Duy Tan

arxiv:1412.7611 v3 · 2014-12-24 · math.NT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ZASVWX7JJ3HIVKYGPY27XBJWW}

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	2026-05-18T00:44:28.576042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee412adaff4a7674555833f1afdc29b5ae45f0963adac368e95b6ccb74d33b86

Aliases

arxiv: 1412.7611 · arxiv_version: 1412.7611v3 · doi: 10.48550/arxiv.1412.7611 · pith_short_12: 5ZASVWX7JJ3H · pith_short_16: 5ZASVWX7JJ3HIVKY · pith_short_8: 5ZASVWX7

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/5ZASVWX7JJ3HIVKYGPY27XBJWW \
  | 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: ee412adaff4a7674555833f1afdc29b5ae45f0963adac368e95b6ccb74d33b86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b83570e334c1560e9dbf4ae9084dbc653f251e8723b2eaddffb19c099db6ee1b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-24T06:51:25Z",
    "title_canon_sha256": "c5f72f7ee1f503a75fafa1bd513e0bf0fe5ee541233d81496b9939d6b21d9684"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7611",
    "kind": "arxiv",
    "version": 3
  }
}