Pith Number

pith:6LORANNQ

pith:2011:6LORANNQ4PY6KPWQWKXONPDJEC

not attested not anchored not stored refs pending

Colored Morton-Franks-Williams inequalities

Hao Wu

arxiv:1102.0586 v1 · 2011-02-02 · 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{6LORANNQ4PY6KPWQWKXONPDJEC}

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	2026-05-18T04:30:04.402498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2dd1035b0e3f1e53ed0b2aee6bc692081e4ee8567121ed7129186c36834feea

Aliases

arxiv: 1102.0586 · arxiv_version: 1102.0586v1 · doi: 10.48550/arxiv.1102.0586 · pith_short_12: 6LORANNQ4PY6 · pith_short_16: 6LORANNQ4PY6KPWQ · pith_short_8: 6LORANNQ

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/6LORANNQ4PY6KPWQWKXONPDJEC \
  | 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: f2dd1035b0e3f1e53ed0b2aee6bc692081e4ee8567121ed7129186c36834feea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "580091eb919f81b75ad6225dff40461b0f5d51209a525a715ff1ea4b7c3b65f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-02-02T23:21:48Z",
    "title_canon_sha256": "ce3c85dd806e3b294ade3ed376e33b6af3528b7eb019db38dbf2ddbda81fde1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0586",
    "kind": "arxiv",
    "version": 1
  }
}