Pith Number

pith:THOBARPJ

pith:2012:THOBARPJMMBSP6YU3CV34A6ZBV

not attested not anchored not stored refs pending

Pfaffian representations of cubic surfaces

Fabio Tanturri

arxiv:1203.0999 v3 · 2012-03-05 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{THOBARPJMMBSP6YU3CV34A6ZBV}

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	2026-05-18T03:00:14.943977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99dc1045e9630327fb14d8abbe03d90d7aca676b63288f02d5da1318820e0cec

Aliases

arxiv: 1203.0999 · arxiv_version: 1203.0999v3 · doi: 10.48550/arxiv.1203.0999 · pith_short_12: THOBARPJMMBS · pith_short_16: THOBARPJMMBSP6YU · pith_short_8: THOBARPJ

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/THOBARPJMMBSP6YU3CV34A6ZBV \
  | 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: 99dc1045e9630327fb14d8abbe03d90d7aca676b63288f02d5da1318820e0cec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c680398fd20b0ca5cd7849610fa39c010950aa806dba222bbd5b0e7efd110b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-05T18:26:12Z",
    "title_canon_sha256": "e4770515590f0424a3bbabc03b5a1ca996a3ee3d8d005862e5c8f4867dfa91b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0999",
    "kind": "arxiv",
    "version": 3
  }
}