Pith Number

pith:QBRAQSX4

pith:2012:QBRAQSX4LSJ6R2AZZEKEJQUNTE

not attested not anchored not stored refs pending

An Exceptional Collection For Khovanov Homology

Benjamin Cooper, Matt Hogancamp

arxiv:1209.1002 v3 · 2012-09-05 · math.QA · 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{QBRAQSX4LSJ6R2AZZEKEJQUNTE}

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	2026-05-18T01:26:11.251018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8062084afc5c93e8e819c91444c28d99325c34909a87932e83794930e81dd991

Aliases

arxiv: 1209.1002 · arxiv_version: 1209.1002v3 · doi: 10.48550/arxiv.1209.1002 · pith_short_12: QBRAQSX4LSJ6 · pith_short_16: QBRAQSX4LSJ6R2AZ · pith_short_8: QBRAQSX4

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/QBRAQSX4LSJ6R2AZZEKEJQUNTE \
  | 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: 8062084afc5c93e8e819c91444c28d99325c34909a87932e83794930e81dd991

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ee73a1953c9098a32cfd19eb4e6b093e19b3c083c7bc88511894182a14796b9",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-09-05T14:58:49Z",
    "title_canon_sha256": "4ad0aeba598543518531544f50211570f03197a4f939aa461c31ebc4695a5144"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1002",
    "kind": "arxiv",
    "version": 3
  }
}