Pith Number

pith:BQZQQXR6

pith:2010:BQZQQXR6BYAAPDDOGHXV27CLIF

not attested not anchored not stored refs pending

Chen-Ruan cohomology of some moduli spaces, II

Indranil Biswas, Mainak Poddar

arxiv:1009.4009 v1 · 2010-09-21 · 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{BQZQQXR6BYAAPDDOGHXV27CLIF}

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	2026-05-18T04:40:34.721856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c33085e3e0e00078c6e31ef5d7c4b41588e748eb67c82ec44ed97b56f27116a

Aliases

arxiv: 1009.4009 · arxiv_version: 1009.4009v1 · doi: 10.48550/arxiv.1009.4009 · pith_short_12: BQZQQXR6BYAA · pith_short_16: BQZQQXR6BYAAPDDO · pith_short_8: BQZQQXR6

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/BQZQQXR6BYAAPDDOGHXV27CLIF \
  | 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: 0c33085e3e0e00078c6e31ef5d7c4b41588e748eb67c82ec44ed97b56f27116a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c600d5539975c45233bfca3a0bf73ee85df8224391d6326c1b89371f5b26140",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-21T07:09:06Z",
    "title_canon_sha256": "c8e0de057395223283bf9bae032ff3b4e315a2345e54ff2aed6cf04de44d7757"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4009",
    "kind": "arxiv",
    "version": 1
  }
}