Pith Number

pith:624D3OVY

pith:2012:624D3OVYKVLRYIKPKASDAUN3UF

not attested not anchored not stored refs pending

The pullback of a theta divisor to M_{g,n}

Fabian M\"uller

arxiv:1203.3102 v3 · 2012-03-14 · 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{624D3OVYKVLRYIKPKASDAUN3UF}

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	2026-05-18T03:37:08.763702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6b83dbab855571c214f50243051bba159e0e4b22210bba842c6c27f5bc7e4e9

Aliases

arxiv: 1203.3102 · arxiv_version: 1203.3102v3 · doi: 10.48550/arxiv.1203.3102 · pith_short_12: 624D3OVYKVLR · pith_short_16: 624D3OVYKVLRYIKP · pith_short_8: 624D3OVY

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/624D3OVYKVLRYIKPKASDAUN3UF \
  | 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: f6b83dbab855571c214f50243051bba159e0e4b22210bba842c6c27f5bc7e4e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d19eb2dcdb2605179a86ecc8576ba9081b51a4a66ac822f232fd1612226e3a77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-14T14:43:19Z",
    "title_canon_sha256": "c5bb617d495f70fdf7409e2d7bb6ac64756e25551960d4b69dcd8f4623adb621"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3102",
    "kind": "arxiv",
    "version": 3
  }
}