Pith Number

pith:THGAHR62

pith:2008:THGAHR62ZGSPD62HWK5I232CEU

not attested not anchored not stored refs pending

Chen-Ruan cohomology of M_{1,n} and \bar{M}_{1,n}

Nicola Pagani

arxiv:0810.2744 v3 · 2008-10-15 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{THGAHR62ZGSPD62HWK5I232CEU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:04:15.765401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99cc03c7dac9a4f1fb47b2ba8d6f42251b13d21c68a1e3cbaca57e9ebd0ea26a

Aliases

arxiv: 0810.2744 · arxiv_version: 0810.2744v3 · doi: 10.48550/arxiv.0810.2744 · pith_short_12: THGAHR62ZGSP · pith_short_16: THGAHR62ZGSPD62H · pith_short_8: THGAHR62

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/THGAHR62ZGSPD62HWK5I232CEU \
  | 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: 99cc03c7dac9a4f1fb47b2ba8d6f42251b13d21c68a1e3cbaca57e9ebd0ea26a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "307185970d9b6fcbaa3df39cbd49bff635535c99d966b1504d138f9941ae0689",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-10-15T17:23:19Z",
    "title_canon_sha256": "a3254fc2d7a4842c6b6723e48134f24d4db9df63f11f413110c4c2b51f64e72e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.2744",
    "kind": "arxiv",
    "version": 3
  }
}