Pith Number

pith:FLOUZCD5

pith:2000:FLOUZCD5C5OBQFBQAJ3Y7ACRKK

not attested not anchored not stored refs pending

Symplectic Lefschetz fibrations on S^1 x M^3

Rostislav Matveyev, Weimin Chen

arxiv:math/0002022 v3 · 2000-02-03 · math.DG · 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{FLOUZCD5C5OBQFBQAJ3Y7ACRKK}

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	2026-05-18T02:38:01.046584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2add4c887d175c18143002778f8051529fe3c7f1618e8a350a3282d716df47dd

Aliases

arxiv: math/0002022 · arxiv_version: math/0002022v3 · doi: 10.48550/arxiv.math/0002022 · pith_short_12: FLOUZCD5C5OB · pith_short_16: FLOUZCD5C5OBQFBQ · pith_short_8: FLOUZCD5

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/FLOUZCD5C5OBQFBQAJ3Y7ACRKK \
  | 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: 2add4c887d175c18143002778f8051529fe3c7f1618e8a350a3282d716df47dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9be3fd60a373ac8b89e66e4f1bdf7483b54c2016e513015d1c37491234bd798",
    "cross_cats_sorted": [
      "math.GT",
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2000-02-03T01:54:20Z",
    "title_canon_sha256": "37503b6abee5b22cc3a9351ab45d64eabb70e29fe41800b54259ab9cb69030d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0002022",
    "kind": "arxiv",
    "version": 3
  }
}