Pith Number

pith:T7SVFAUM

pith:2002:T7SVFAUMGQYRCLKEGE6GKL47HH

not attested not anchored not stored refs pending

Comparing virtual fundamental classes: Gauge theoretical Gromov-Witten invariants for toric varieties

A. Teleman, Ch. Okonek

arxiv:math/0205137 v3 · 2002-05-13 · math.DG · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T7SVFAUMGQYRCLKEGE6GKL47HH}

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	2026-07-04T14:36:12.161355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fe552828c3431112d44313c652f9f39dd0c4d21bae17999c8e62948de75f5be

Aliases

arxiv: math/0205137 · arxiv_version: math/0205137v3 · doi: 10.48550/arxiv.math/0205137 · pith_short_12: T7SVFAUMGQYR · pith_short_16: T7SVFAUMGQYRCLKE · pith_short_8: T7SVFAUM

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/T7SVFAUMGQYRCLKEGE6GKL47HH \
  | 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: 9fe552828c3431112d44313c652f9f39dd0c4d21bae17999c8e62948de75f5be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae58c34aaf68982d979fce9fc487fedf3e90060a42f54b98d965c736b0aceae8",
    "cross_cats_sorted": [
      "math.AG",
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2002-05-13T19:47:44Z",
    "title_canon_sha256": "4860a6ac528c050630db584418a06b12bbdcb3f6235ea09aa88d61b79c7c1ad6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0205137",
    "kind": "arxiv",
    "version": 3
  }
}