Pith Number

pith:Y77CFJQZ

pith:2010:Y77CFJQZWTLMHSDX5U46UDG4WT

not attested not anchored not stored refs pending

Rational analogs of projective planes

Zhixu Su

arxiv:1010.3274 v3 · 2010-10-15 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y77CFJQZWTLMHSDX5U46UDG4WT}

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	2026-05-18T01:22:29.223236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7fe22a619b4d6c3c877ed39ea0cdcb4e22ab8efdd14a0fbd23f5faadf3e94d2

Aliases

arxiv: 1010.3274 · arxiv_version: 1010.3274v3 · doi: 10.48550/arxiv.1010.3274 · pith_short_12: Y77CFJQZWTLM · pith_short_16: Y77CFJQZWTLMHSDX · pith_short_8: Y77CFJQZ

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/Y77CFJQZWTLMHSDX5U46UDG4WT \
  | 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: c7fe22a619b4d6c3c877ed39ea0cdcb4e22ab8efdd14a0fbd23f5faadf3e94d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d855f37d19baeeacc0574866d77afd870728e4c44a2b53367772dc675e0e674f",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-10-15T20:41:21Z",
    "title_canon_sha256": "d92309ee6562d7fbe71355a4f5924c793154f8855b9bad0d9365045a804fe9de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3274",
    "kind": "arxiv",
    "version": 3
  }
}