Pith Number

pith:DSLLSGKJ

pith:2006:DSLLSGKJQ5UU5UQM2ZJPRFSCWG

not attested not anchored not stored refs pending

Genus zero Gopakumar-Vafa invariants of contractible curves

Sheldon Katz

arxiv:math/0601193 v1 · 2006-01-09 · math.AG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DSLLSGKJQ5UU5UQM2ZJPRFSCWG}

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

2 papers in Pith

Large Order Enumerative Geometry, Black Holes and Black Rings

Receipt and verification

First computed	2026-07-04T14:52:47.602890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c96b9194987694ed20cd652f89642b1b9c2245f9571e0ad94fc70240d37d0c7

Aliases

arxiv: math/0601193 · arxiv_version: math/0601193v1 · doi: 10.48550/arxiv.math/0601193 · pith_short_12: DSLLSGKJQ5UU · pith_short_16: DSLLSGKJQ5UU5UQM · pith_short_8: DSLLSGKJ

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/DSLLSGKJQ5UU5UQM2ZJPRFSCWG \
  | 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: 1c96b9194987694ed20cd652f89642b1b9c2245f9571e0ad94fc70240d37d0c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3cd436f17cd8594fc2eacb4e5db58f0b981912874c328688f92ac09557526d4",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-01-09T21:33:12Z",
    "title_canon_sha256": "2a8c5fa91df24a55f2efc541d99aee95e9fbcc0779cb8eb55875be22463a60c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601193",
    "kind": "arxiv",
    "version": 1
  }
}