Pith Number

pith:XE3FQVVR

pith:2014:XE3FQVVRO3AFXJOD276VU3MSXO

not attested not anchored not stored refs pending

Some Details On The Gopakumar-Vafa and Ooguri-Vafa Formulas

Edward Witten, Mykola Dedushenko

arxiv:1411.7108 v2 · 2014-11-26 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XE3FQVVRO3AFXJOD276VU3MSXO}

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	2026-05-18T02:29:45.225878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9365856b176c05ba5c3d7fd5a6d92bb9c969149e5a503db4a6e3e9d4846f841

Aliases

arxiv: 1411.7108 · arxiv_version: 1411.7108v2 · doi: 10.48550/arxiv.1411.7108 · pith_short_12: XE3FQVVRO3AF · pith_short_16: XE3FQVVRO3AFXJOD · pith_short_8: XE3FQVVR

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/XE3FQVVRO3AFXJOD276VU3MSXO \
  | 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: b9365856b176c05ba5c3d7fd5a6d92bb9c969149e5a503db4a6e3e9d4846f841

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06ed312b4d08000369b5d74efbaf150728a597749ae2fd76a19e19593e517125",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-11-26T04:40:36Z",
    "title_canon_sha256": "248316d2b517e022bef4d069af718ecd0231b153d9bcf437a04491ff402d96b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7108",
    "kind": "arxiv",
    "version": 2
  }
}