Pith Number

pith:BGMCGH7O

pith:2012:BGMCGH7OKILFYBCARGGGTP4TWT

not attested not anchored not stored refs pending

Refined curve counting on complex surfaces

Lothar G\"ottsche, Vivek Shende

arxiv:1208.1973 v2 · 2012-08-09 · 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{BGMCGH7OKILFYBCARGGGTP4TWT}

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	2026-05-18T01:34:36.132227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0998231fee52165c0440898c69bf93b4dab86721f42a6b215b23dd4d388c2fee

Aliases

arxiv: 1208.1973 · arxiv_version: 1208.1973v2 · doi: 10.48550/arxiv.1208.1973 · pith_short_12: BGMCGH7OKILF · pith_short_16: BGMCGH7OKILFYBCA · pith_short_8: BGMCGH7O

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/BGMCGH7OKILFYBCARGGGTP4TWT \
  | 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: 0998231fee52165c0440898c69bf93b4dab86721f42a6b215b23dd4d388c2fee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8960825d4646f34ff96264d9225bd077492cec2a2aa7a85670f248f3c4d4a95b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-08-09T17:20:41Z",
    "title_canon_sha256": "b93641b7be27bc2df021294c05271c0f0496474dfd292397a28051e6ec9df606"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1973",
    "kind": "arxiv",
    "version": 2
  }
}