Pith Number

pith:Q7PCURY7

pith:2002:Q7PCURY77HCVZ6LABNLOXCQLDN

not attested not anchored not stored refs pending

Lagrangians for the Gopakumar-Vafa conjecture

Clifford Henry Taubes

arxiv:math/0201219 v2 · 2002-01-22 · math.DG · math-ph · math.GT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q7PCURY77HCVZ6LABNLOXCQLDN}

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.

Cited by

1 paper in Pith

Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex

Receipt and verification

First computed	2026-07-04T15:39:27.609436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87de2a471ff9c55cf9600b56eb8a0b1b78c9a046bbd60e8b8f8273a0c7ceaa91

Aliases

arxiv: math/0201219 · arxiv_version: math/0201219v2 · doi: 10.48550/arxiv.math/0201219 · pith_short_12: Q7PCURY77HCV · pith_short_16: Q7PCURY77HCVZ6LA · pith_short_8: Q7PCURY7

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/Q7PCURY77HCVZ6LABNLOXCQLDN \
  | 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: 87de2a471ff9c55cf9600b56eb8a0b1b78c9a046bbd60e8b8f8273a0c7ceaa91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecd9ba00756b1d890711d1a7a466452771fc8a7c35695ab659c5ad1d4daae67c",
    "cross_cats_sorted": [
      "math-ph",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2002-01-22T23:32:45Z",
    "title_canon_sha256": "c717aa8732e5ac5eeb1a2f96d5dff56d1aa267ebafa8f4ba29d5eb016d0f9b64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0201219",
    "kind": "arxiv",
    "version": 2
  }
}