Pith Number

pith:BEZOCJWJ

pith:2010:BEZOCJWJDYEJZZ3VNHXKP7KVOM

not attested not anchored not stored refs pending

The Chen-Ruan cohomology of moduli of curves of genus 2 with marked points

Nicola Pagani

arxiv:1005.0725 v4 · 2010-05-05 · math.AG · 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{BEZOCJWJDYEJZZ3VNHXKP7KVOM}

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	2026-05-18T02:24:08.954096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0932e126c91e089ce77569eea7fd557305fa7d2258918601a4ab443f48303c41

Aliases

arxiv: 1005.0725 · arxiv_version: 1005.0725v4 · doi: 10.48550/arxiv.1005.0725 · pith_short_12: BEZOCJWJDYEJ · pith_short_16: BEZOCJWJDYEJZZ3V · pith_short_8: BEZOCJWJ

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/BEZOCJWJDYEJZZ3VNHXKP7KVOM \
  | 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: 0932e126c91e089ce77569eea7fd557305fa7d2258918601a4ab443f48303c41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bf5d36e047c40c5b26f5d118bd8fb34b508483de35bcd709d9d7f9da8cd339e",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-05-05T12:03:26Z",
    "title_canon_sha256": "72795a26bfbd0b21349532097016cbccd36c0e3be16b67dcd6734504b3b25316"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0725",
    "kind": "arxiv",
    "version": 4
  }
}