Pith Number

pith:AA4NQA5B

pith:2002:AA4NQA5BZJI5KZMWDHKVUZTKYK

not attested not anchored not stored refs pending

Open books and configurations of symplectic surfaces and erratum

David T. Gay

arxiv:math/0209153 v5 · 2002-09-12 · math.GT · 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{AA4NQA5BZJI5KZMWDHKVUZTKYK}

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	2026-05-18T02:41:32.869697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0038d803a1ca51d5659619d55a666ac2ab4fddc194e34991f884a791cca04b97

Aliases

arxiv: math/0209153 · arxiv_version: math/0209153v5 · doi: 10.48550/arxiv.math/0209153 · pith_short_12: AA4NQA5BZJI5 · pith_short_16: AA4NQA5BZJI5KZMW · pith_short_8: AA4NQA5B

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/AA4NQA5BZJI5KZMWDHKVUZTKYK \
  | 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: 0038d803a1ca51d5659619d55a666ac2ab4fddc194e34991f884a791cca04b97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e16da76d5e83bdd272cf12ca30bcbe70146547d398f97f2465f50cff4674bf84",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-09-12T22:28:58Z",
    "title_canon_sha256": "3d1305f546f9ed6cecdcac307092a145fa5138f8e4aee8a4b460ed5f0b5ef436"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0209153",
    "kind": "arxiv",
    "version": 5
  }
}