Pith Number

pith:H6AQHX7S

pith:2009:H6AQHX7SISN2522CMN35N5Y6UU

not attested not anchored not stored refs pending

The small quantum cohomology of a weighted projective space, a mirror D-module and their classical limits

Antoine Douai, Etienne Mann

arxiv:0909.4063 v3 · 2009-09-22 · 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{H6AQHX7SISN2522CMN35N5Y6UU}

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	2026-05-18T03:53:32.078211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f8103dff2449baeeb426377d6f71ea530861224b69ff19e20452e7878a6a329

Aliases

arxiv: 0909.4063 · arxiv_version: 0909.4063v3 · doi: 10.48550/arxiv.0909.4063 · pith_short_12: H6AQHX7SISN2 · pith_short_16: H6AQHX7SISN2522C · pith_short_8: H6AQHX7S

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/H6AQHX7SISN2522CMN35N5Y6UU \
  | 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: 3f8103dff2449baeeb426377d6f71ea530861224b69ff19e20452e7878a6a329

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "402615ed9552a4809772981ff6f3542112b146149f827a2503002827b92b8deb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-09-22T19:02:26Z",
    "title_canon_sha256": "ddc11c04ed1be59c5f50bfc7daed371811b13a9aec08a23fe74e661f63595205"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4063",
    "kind": "arxiv",
    "version": 3
  }
}