Pith Number

pith:VNCZLQ6O

pith:2004:VNCZLQ6O37G4KQO2CWFTPEKJOE

not attested not anchored not stored refs pending

Ozsvath-Szabo invariants and tight contact three-manifolds, I

Andras I Stipsicz, Paolo Lisca

arxiv:math/0404135 v2 · 2004-04-06 · math.SG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VNCZLQ6O37G4KQO2CWFTPEKJOE}

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	2026-05-18T02:38:00.132486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab4595c3cedfcdc541da158b37914971202926609ca9fa844467ed3ef3f013b7

Aliases

arxiv: math/0404135 · arxiv_version: math/0404135v2 · doi: 10.48550/arxiv.math/0404135 · pith_short_12: VNCZLQ6O37G4 · pith_short_16: VNCZLQ6O37G4KQO2 · pith_short_8: VNCZLQ6O

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/VNCZLQ6O37G4KQO2CWFTPEKJOE \
  | 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: ab4595c3cedfcdc541da158b37914971202926609ca9fa844467ed3ef3f013b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4c45f9822951dff90a6650779c4708feaebcb06db8f5b142d2ef7d678fca059",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2004-04-06T15:35:01Z",
    "title_canon_sha256": "6a2435d2287aad80ca113c37070543c70e8476d037dff451dc313deaf3deeada"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0404135",
    "kind": "arxiv",
    "version": 2
  }
}