Pith Number

pith:4VLCZOLL

pith:2010:4VLCZOLLCBP7UNGSRQNTBCMN55

not attested not anchored not stored refs pending

Equivariant colored sl(N)-homology for links

Hao Wu

arxiv:1002.2662 v2 · 2010-02-15 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VLCZOLLCBP7UNGSRQNTBCMN55}

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	2026-05-18T04:27:45.450070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5562cb96b105ffa34d28c1b30898def484172c358e257beb03dd43ea945afde

Aliases

arxiv: 1002.2662 · arxiv_version: 1002.2662v2 · doi: 10.48550/arxiv.1002.2662 · pith_short_12: 4VLCZOLLCBP7 · pith_short_16: 4VLCZOLLCBP7UNGS · pith_short_8: 4VLCZOLL

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/4VLCZOLLCBP7UNGSRQNTBCMN55 \
  | 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: e5562cb96b105ffa34d28c1b30898def484172c358e257beb03dd43ea945afde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50ab4895019a390790bc1e6eb761e6382bc828a27e524f13bf62a1ff3b052447",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-02-15T14:04:53Z",
    "title_canon_sha256": "20940212b906e3bef6339ee9ba56811d2fb1336acbbd31bd8c07bd86812fb9a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2662",
    "kind": "arxiv",
    "version": 2
  }
}