Pith Number

pith:BQBC2FEX

pith:2003:BQBC2FEX7X57C4HA4YXJ6DQQUK

not attested not anchored not stored refs pending

Bounds for the Thurston-Bennequin number from Floer homology

Olga Plamenevskaya

arxiv:math/0311090 v2 · 2003-11-06 · 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{BQBC2FEX7X57C4HA4YXJ6DQQUK}

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	2026-05-18T02:41:32.579572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c022d1497fdfbf170e0e62e9f0e10a2835e4c0a841977bb6725f102b5726f75

Aliases

arxiv: math/0311090 · arxiv_version: math/0311090v2 · doi: 10.48550/arxiv.math/0311090 · pith_short_12: BQBC2FEX7X57 · pith_short_16: BQBC2FEX7X57C4HA · pith_short_8: BQBC2FEX

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/BQBC2FEX7X57C4HA4YXJ6DQQUK \
  | 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: 0c022d1497fdfbf170e0e62e9f0e10a2835e4c0a841977bb6725f102b5726f75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cd6433c878861ef28742cc0aa2f4fa6ac372a7c5ad0cc0726507dc231eb70d8",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2003-11-06T19:45:56Z",
    "title_canon_sha256": "b925d944f0f4abdddab70122998e92c3985c44695a4b7569c41759061fa6fb8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311090",
    "kind": "arxiv",
    "version": 2
  }
}