pith. sign in
Pith Number

pith:NOKIZ3ZK

pith:2013:NOKIZ3ZKPKU6VVTQS67OV6OLHG
not attested not anchored not stored refs pending

Quadruply-graded colored homology of knots

Eugene Gorsky, Marko Stosic, Sergei Gukov

arxiv:1304.3481 v1 · 2013-04-11 · math.QA · hep-th · math.AG · math.GT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NOKIZ3ZKPKU6VVTQS67OV6OLHG}

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 2026-05-18T03:28:07.663273Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6b948cef2a7aa9ead67097beeaf9cb39974290cf585af27b79a7ec74182ec620

Aliases

arxiv: 1304.3481 · arxiv_version: 1304.3481v1 · doi: 10.48550/arxiv.1304.3481 · pith_short_12: NOKIZ3ZKPKU6 · pith_short_16: NOKIZ3ZKPKU6VVTQ · pith_short_8: NOKIZ3ZK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NOKIZ3ZKPKU6VVTQS67OV6OLHG \
  | 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: 6b948cef2a7aa9ead67097beeaf9cb39974290cf585af27b79a7ec74182ec620
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6d609fadad27faa37689509eef1d5b26c62b4c3955b134d1b0f387f8b0671a4f",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-04-11T20:39:22Z",
    "title_canon_sha256": "9fe46c23d62ba227c21637fc2606de584b44805afd8da6e3b735eabe5957c231"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3481",
    "kind": "arxiv",
    "version": 1
  }
}