Pith Number

pith:QBFCBFRN

pith:2000:QBFCBFRNKPVDFNBJRHFEI2NY56

not attested not anchored not stored refs pending

Maximal Thurston-Bennequin Number of Two-Bridge Links

Lenhard L. Ng

arxiv:math/0008242 v3 · 2000-08-31 · 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{QBFCBFRNKPVDFNBJRHFEI2NY56}

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	2026-05-18T02:41:33.397396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

804a20962d53ea32b42989ca4469b8ef9fd02e35ddb697cf23c1067934af1241

Aliases

arxiv: math/0008242 · arxiv_version: math/0008242v3 · doi: 10.48550/arxiv.math/0008242 · pith_short_12: QBFCBFRNKPVD · pith_short_16: QBFCBFRNKPVDFNBJ · pith_short_8: QBFCBFRN

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/QBFCBFRNKPVDFNBJRHFEI2NY56 \
  | 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: 804a20962d53ea32b42989ca4469b8ef9fd02e35ddb697cf23c1067934af1241

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1772457ef26bf765b8af030338bad9145d817e4139ffdd001597bd3f14a444fd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2000-08-31T20:56:27Z",
    "title_canon_sha256": "1ed07cfc4fd72c26d19d7c1b5bd6a5090d035931e0b28a40bba3b17aa1e48217"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0008242",
    "kind": "arxiv",
    "version": 3
  }
}