Pith Number

pith:DNZKHNMV

pith:2003:DNZKHNMVG3BTR263CNS6OT6EGO

not attested not anchored not stored refs pending

Invariants for Lagrangian tori

Ronald Fintushel, Ronald J Stern

arxiv:math/0304402 v6 · 2003-04-25 · math.SG · math.AG · 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{DNZKHNMVG3BTR263CNS6OT6EGO}

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	2026-05-18T02:38:00.360231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b72a3b59536c338ebdb1365e74fc433a915bfd0f73c5737f77b856cb2f109fd

Aliases

arxiv: math/0304402 · arxiv_version: math/0304402v6 · doi: 10.48550/arxiv.math/0304402 · pith_short_12: DNZKHNMVG3BT · pith_short_16: DNZKHNMVG3BTR263 · pith_short_8: DNZKHNMV

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/DNZKHNMVG3BTR263CNS6OT6EGO \
  | 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: 1b72a3b59536c338ebdb1365e74fc433a915bfd0f73c5737f77b856cb2f109fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2f02d8c0db7630798d1594f432e82f5322bbdfa989da64cdffbf45a8998b4f6",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2003-04-25T02:25:43Z",
    "title_canon_sha256": "486952c7c16b10f0388aca0b05bddad3d5a356be910572966d128ce9992ed6f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304402",
    "kind": "arxiv",
    "version": 6
  }
}