Pith Number

pith:2BX7B3A2

pith:2018:2BX7B3A27C3TCUQYTT3PDGPR6B

not attested not anchored not stored refs pending

Positivities of knots and links and the defect of Bennequin inequality

Jesse Hamer, Keiko Kawamuro, Tetsuya Ito

arxiv:1809.10836 v1 · 2018-09-28 · 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{2BX7B3A27C3TCUQYTT3PDGPR6B}

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	2026-05-18T00:04:34.912673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d06ff0ec1af8b73152189cf6f199f1f04b58ef6fa3118423bc4af151fbc160a3

Aliases

arxiv: 1809.10836 · arxiv_version: 1809.10836v1 · doi: 10.48550/arxiv.1809.10836 · pith_short_12: 2BX7B3A27C3T · pith_short_16: 2BX7B3A27C3TCUQY · pith_short_8: 2BX7B3A2

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/2BX7B3A27C3TCUQYTT3PDGPR6B \
  | 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: d06ff0ec1af8b73152189cf6f199f1f04b58ef6fa3118423bc4af151fbc160a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "289a53c8f73304ce395e2ea61b026390b53b54348491c5813cfffca79c33c909",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-09-28T03:14:34Z",
    "title_canon_sha256": "2b2d6e03d007ff2fe4b2ee92f48f7803b6efb32813b22679ee229c18db8b7e3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10836",
    "kind": "arxiv",
    "version": 1
  }
}