Pith Number

pith:7A3Z6JVI

pith:2005:7A3Z6JVIZKKCRULKDLDD2LFO5M

not attested not anchored not stored refs pending

Integrality of Gopakumar-Vafa Invariants of Toric Calabi-Yau Threefolds

Yukiko Konishi

arxiv:math/0504188 v3 · 2005-04-10 · 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{7A3Z6JVIZKKCRULKDLDD2LFO5M}

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	2026-07-04T14:50:12.417898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8379f26a8ca9428d16a1ac63d2caeeb108dbf9b7fe2f9f891a459405c9fdd5b

Aliases

arxiv: math/0504188 · arxiv_version: math/0504188v3 · doi: 10.48550/arxiv.math/0504188 · pith_short_12: 7A3Z6JVIZKKC · pith_short_16: 7A3Z6JVIZKKCRULK · pith_short_8: 7A3Z6JVI

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/7A3Z6JVIZKKCRULKDLDD2LFO5M \
  | 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: f8379f26a8ca9428d16a1ac63d2caeeb108dbf9b7fe2f9f891a459405c9fdd5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17ccf56e37a0c0eecd867015116e64eff975ee7ba6ef09e1cb92cad18fcfe6a1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-04-10T08:16:01Z",
    "title_canon_sha256": "0b9840d32ac16265d492ba77b83843bf1d0154589645ddc8f4643ffcab2b733f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504188",
    "kind": "arxiv",
    "version": 3
  }
}