Pith Number

pith:K33HK5DD

pith:2001:K33HK5DDCZKXNDYZ6HZZRMGF63

not attested not anchored not stored refs pending

Gauge theoretical equivariant Gromov-Witten invariants and the full Seiberg-Witten invariants of ruled surfaces

A. Teleman, Ch. Okonek

arxiv:math/0102119 v2 · 2001-02-15 · math.SG · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K33HK5DDCZKXNDYZ6HZZRMGF63}

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.

Receipt and verification

First computed	2026-07-04T16:28:15.337714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56f67574631655768f19f1f398b0c5f6d01b211fa88dcfabd34682d3626669d3

Aliases

arxiv: math/0102119 · arxiv_version: math/0102119v2 · doi: 10.48550/arxiv.math/0102119 · pith_short_12: K33HK5DDCZKX · pith_short_16: K33HK5DDCZKXNDYZ · pith_short_8: K33HK5DD

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/K33HK5DDCZKXNDYZ6HZZRMGF63 \
  | 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: 56f67574631655768f19f1f398b0c5f6d01b211fa88dcfabd34682d3626669d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65ffc02cf0bb2cfb26e08291afa6a2b92dc7faf2bdd8fbfbb22b8668b491cb5c",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2001-02-15T17:38:22Z",
    "title_canon_sha256": "000f87e300b55d9b007366a655e42f1ad938e1a41d18306f4629c9a357af9fc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0102119",
    "kind": "arxiv",
    "version": 2
  }
}