Pith Number

pith:SHPKAJSN

pith:2000:SHPKAJSNGXL67HOQ33BXAW56OZ

not attested not anchored not stored refs pending

Relations among divisors on the moduli space of curves with marked points

Adam Logan

arxiv:math/0003104 v1 · 2000-03-17 · 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{SHPKAJSNGXL67HOQ33BXAW56OZ}

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	2026-05-18T01:05:38.771981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91dea0264d35d7ef9dd0dec3705bbe765ce4f547cff3e082bef51f1da968938e

Aliases

arxiv: math/0003104 · arxiv_version: math/0003104v1 · doi: 10.48550/arxiv.math/0003104 · pith_short_12: SHPKAJSNGXL6 · pith_short_16: SHPKAJSNGXL67HOQ · pith_short_8: SHPKAJSN

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/SHPKAJSNGXL67HOQ33BXAW56OZ \
  | 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: 91dea0264d35d7ef9dd0dec3705bbe765ce4f547cff3e082bef51f1da968938e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5d70dee465cefb806f9180a25fe65f379e4b77eaea2e1773c66b3d35057b219",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-03-17T00:21:24Z",
    "title_canon_sha256": "3458c93d2de08793b43adab5df1a16d1affca088108b95ec109ffed514989b66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0003104",
    "kind": "arxiv",
    "version": 1
  }
}