Pith Number

pith:GZN2JA4I

pith:2017:GZN2JA4ICWZDLJWTK6NRXHV3JK

not attested not anchored not stored refs pending

Khovanov-Rozansky homology and higher Catalan sequences

Matthew Hogancamp

arxiv:1704.01562 v1 · 2017-04-05 · math.GT · math.CO · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZN2JA4ICWZDLJWTK6NRXHV3JK}

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.

Cited by

1 paper in Pith

Torus link homology

Receipt and verification

First computed	2026-05-18T00:46:56.147892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

365ba4838815b235a6d3579b1b9ebb4a9b726974b63e68a8c371bdceec3b35c8

Aliases

arxiv: 1704.01562 · arxiv_version: 1704.01562v1 · doi: 10.48550/arxiv.1704.01562 · pith_short_12: GZN2JA4ICWZD · pith_short_16: GZN2JA4ICWZDLJWT · pith_short_8: GZN2JA4I

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/GZN2JA4ICWZDLJWTK6NRXHV3JK \
  | 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: 365ba4838815b235a6d3579b1b9ebb4a9b726974b63e68a8c371bdceec3b35c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92f8ae437dd85bb1ad8717a3ff0de2bec09682549dc84b27da39e1f4bba664a3",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-04-05T17:57:15Z",
    "title_canon_sha256": "02a116d76f84db6928875b66919171797e1e641c2333a95904a06298938f25ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01562",
    "kind": "arxiv",
    "version": 1
  }
}