Pith Number

pith:5FH7IX2J

pith:2013:5FH7IX2JZC3O44VKS7ZCNQJPOS

not attested not anchored not stored refs pending

Isometries and Collineations of the Cayley Surface

Hans Havlicek, Johannes Gmainer

arxiv:1304.0230 v1 · 2013-03-31 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FH7IX2JZC3O44VKS7ZCNQJPOS}

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	2026-05-18T03:29:25.628132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e94ff45f49c8b6ee72aa97f226c12f749ecfc017a35c705d70d3ff2462fb054b

Aliases

arxiv: 1304.0230 · arxiv_version: 1304.0230v1 · doi: 10.48550/arxiv.1304.0230 · pith_short_12: 5FH7IX2JZC3O · pith_short_16: 5FH7IX2JZC3O44VK · pith_short_8: 5FH7IX2J

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/5FH7IX2JZC3O44VKS7ZCNQJPOS \
  | 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: e94ff45f49c8b6ee72aa97f226c12f749ecfc017a35c705d70d3ff2462fb054b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e7d515fe6f74eeb62905550d84d873fd2977dd95269349c2704e6596e378552",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-31T16:56:35Z",
    "title_canon_sha256": "d7aff61cc7739b6be44294ebd4f269d2880bdc548c710109d476ee476acf9343"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0230",
    "kind": "arxiv",
    "version": 1
  }
}