Pith Number

pith:XSDXZCFQ

pith:2009:XSDXZCFQP3IBPS3GNWHBLBIGQD

not attested not anchored not stored refs pending

Gauged Gromov-Witten theory for small spheres

Chris Woodward, Eduardo Gonzalez

arxiv:0907.3869 v6 · 2009-07-22 · math.SG · 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{XSDXZCFQP3IBPS3GNWHBLBIGQD}

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	2026-05-18T02:20:20.786862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc877c88b07ed017cb666d8e15850680f9d60c2b514f2f0b1a6af665955ff682

Aliases

arxiv: 0907.3869 · arxiv_version: 0907.3869v6 · doi: 10.48550/arxiv.0907.3869 · pith_short_12: XSDXZCFQP3IB · pith_short_16: XSDXZCFQP3IBPS3G · pith_short_8: XSDXZCFQ

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/XSDXZCFQP3IBPS3GNWHBLBIGQD \
  | 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: bc877c88b07ed017cb666d8e15850680f9d60c2b514f2f0b1a6af665955ff682

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32c8647133876b2ed4c98897490a063761e0dbd0cbbd01366f5ff86661d00a58",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2009-07-22T15:53:15Z",
    "title_canon_sha256": "3f305d4a7a7e3f4658afd9b37a144a1871affff2cbbc811b806dd62b78a49c7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3869",
    "kind": "arxiv",
    "version": 6
  }
}