Pith Number

pith:32P4M6P4

pith:1998:32P4M6P4J3RHHRXLHF7XFQYEOS

not attested not anchored not stored refs pending

A holomorphic Casson invariant for Calabi-Yau 3-folds, and bundles on K3 fibrations

R. P. Thomas

arxiv:math/9806111 v4 · 1998-06-19 · 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{32P4M6P4J3RHHRXLHF7XFQYEOS}

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

4 papers in Pith

Virtual K-theoretic invariants of the nested Hilbert scheme on $\mathbb{C}^2$

Large Order Enumerative Geometry, Black Holes and Black Rings

Shell formulas for instantons and gauge origami

Receipt and verification

First computed	2026-07-04T14:40:42.057238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de9fc679fc4ee273c6eb397f72c304749a6eb9cb2a0dfde40b39de52f77987b3

Aliases

arxiv: math/9806111 · arxiv_version: math/9806111v4 · doi: 10.48550/arxiv.math/9806111 · pith_short_12: 32P4M6P4J3RH · pith_short_16: 32P4M6P4J3RHHRXL · pith_short_8: 32P4M6P4

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/32P4M6P4J3RHHRXLHF7XFQYEOS \
  | 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: de9fc679fc4ee273c6eb397f72c304749a6eb9cb2a0dfde40b39de52f77987b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c51ac57a2cb1e6255c608afa7f4efed3467cc8e4f74d28e73cd2f0f93be47a4",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1998-06-19T22:44:37Z",
    "title_canon_sha256": "142b3b616ef2fc577cc5c9de62363961fa29ced26d48e9c86065a770b55b3469"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9806111",
    "kind": "arxiv",
    "version": 4
  }
}