Pith Number

pith:LKDCEWWJ

pith:2011:LKDCEWWJFTKHFVXZII5VIEQSHT

not attested not anchored not stored refs pending

Open Gromov-Witten Invariants of Toric Calabi-Yau 3-Folds

Bohan Fang, Chiu-Chu Melissa Liu

arxiv:1103.0693 v2 · 2011-03-03 · math.SG · hep-th · 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{LKDCEWWJFTKHFVXZII5VIEQSHT}

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	2026-05-18T02:03:00.433985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a86225ac92cd472d6f9423b5412123cc16554c7ee7e3b6103a3009e0d33f257

Aliases

arxiv: 1103.0693 · arxiv_version: 1103.0693v2 · doi: 10.48550/arxiv.1103.0693 · pith_short_12: LKDCEWWJFTKH · pith_short_16: LKDCEWWJFTKHFVXZ · pith_short_8: LKDCEWWJ

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/LKDCEWWJFTKHFVXZII5VIEQSHT \
  | 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: 5a86225ac92cd472d6f9423b5412123cc16554c7ee7e3b6103a3009e0d33f257

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03096c90ea4465e04a27b93bd8bdf95ab36c2c202db6e4cd0564930f44da4635",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-03-03T14:25:08Z",
    "title_canon_sha256": "2619373ef853a8b76b25577df353a95bfcfd7051de6926904d7eee9fc976f749"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0693",
    "kind": "arxiv",
    "version": 2
  }
}