Pith Number

pith:TNRALGYE

pith:2012:TNRALGYEDQKIDYTR5LBYHYGZIE

not attested not anchored not stored refs pending

Group cohomology and control of p-fusion

David Benson, Ellen Henke, Jesper Grodal

arxiv:1210.1564 v3 · 2012-10-04 · math.AT · 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{TNRALGYEDQKIDYTR5LBYHYGZIE}

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	2026-05-18T02:41:18.933711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b62059b041c1481e271eac383e0d941385c6b412132332b970ae32efe2df9be

Aliases

arxiv: 1210.1564 · arxiv_version: 1210.1564v3 · doi: 10.48550/arxiv.1210.1564 · pith_short_12: TNRALGYEDQKI · pith_short_16: TNRALGYEDQKIDYTR · pith_short_8: TNRALGYE

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/TNRALGYEDQKIDYTR5LBYHYGZIE \
  | 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: 9b62059b041c1481e271eac383e0d941385c6b412132332b970ae32efe2df9be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63e3eb66a5e372d8d6d9141e41c3866e8680be97f311b9612fdb79c7923a988c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-10-04T19:57:56Z",
    "title_canon_sha256": "28b2c4ab64889826aa964344a4467bf1e90690233655f14c56dd5141659ecc80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1564",
    "kind": "arxiv",
    "version": 3
  }
}