Pith Number

pith:PDL7SBBN

pith:2013:PDL7SBBN5JBI2TYXALPCRRKUGH

not attested not anchored not stored refs pending

Finite group actions on Kervaire manifolds

Diarmuid Crowley, Ian Hambleton

arxiv:1305.6546 v2 · 2013-05-28 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PDL7SBBN5JBI2TYXALPCRRKUGH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:36:41.854933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78d7f9042dea428d4f1702de28c55431e9b6e8558461ccb3592b248841cf4d94

Aliases

arxiv: 1305.6546 · arxiv_version: 1305.6546v2 · doi: 10.48550/arxiv.1305.6546 · pith_short_12: PDL7SBBN5JBI · pith_short_16: PDL7SBBN5JBI2TYX · pith_short_8: PDL7SBBN

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/PDL7SBBN5JBI2TYXALPCRRKUGH \
  | 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: 78d7f9042dea428d4f1702de28c55431e9b6e8558461ccb3592b248841cf4d94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "252f430a9c7a9522d8f8c3c4488c9bd4043a0cfda812fa30034d2004fa2db26a",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-05-28T16:06:10Z",
    "title_canon_sha256": "5ed74e8d56305e5146a2a2d811cbacc0cc17df9d2877801dbb9d21a3762700d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6546",
    "kind": "arxiv",
    "version": 2
  }
}