Pith Number

pith:WAZHOIOL

pith:2014:WAZHOIOLY5TYRNWAJVDTRUYOJW

not attested not anchored not stored refs pending

Modularity of Open Gromov-Witten Potentials of Elliptic Orbifolds

Jie Zhou, Siu-Cheong Lau

arxiv:1412.1499 v3 · 2014-12-03 · math.DG · math.NT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WAZHOIOLY5TYRNWAJVDTRUYOJW}

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	2026-05-18T01:13:45.012176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0327721cbc76788b6c04d4738d30e4db3b41dfdbab167d3abe26152b70bca98

Aliases

arxiv: 1412.1499 · arxiv_version: 1412.1499v3 · doi: 10.48550/arxiv.1412.1499 · pith_short_12: WAZHOIOLY5TY · pith_short_16: WAZHOIOLY5TYRNWA · pith_short_8: WAZHOIOL

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/WAZHOIOLY5TYRNWAJVDTRUYOJW \
  | 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: b0327721cbc76788b6c04d4738d30e4db3b41dfdbab167d3abe26152b70bca98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45432ac7eb67349dbcd0646773671356cf864e70cb77543d6696a5a6898d03f6",
    "cross_cats_sorted": [
      "math.NT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-12-03T21:34:44Z",
    "title_canon_sha256": "257fcca19e505d9ead0be2c58bcf4dcb1e67d1531f4b00653b0303219cb9e4a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1499",
    "kind": "arxiv",
    "version": 3
  }
}