Pith Number

pith:ATO4AN4P

pith:2010:ATO4AN4PRU5AQAGEIDUGVGCOYY

not attested not anchored not stored refs pending

Spectral sequences of colored Jones polynomials, colored Rasmussen invariants and nanophrases

Noboru Ito

arxiv:1008.4443 v3 · 2010-08-26 · math.GT · math.CO · 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{ATO4AN4PRU5AQAGEIDUGVGCOYY}

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	2026-05-18T00:44:46.464340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04ddc0378f8d3a0800c440e86a984ec63bd8c33741388a4f0f0fac2561965165

Aliases

arxiv: 1008.4443 · arxiv_version: 1008.4443v3 · doi: 10.48550/arxiv.1008.4443 · pith_short_12: ATO4AN4PRU5A · pith_short_16: ATO4AN4PRU5AQAGE · pith_short_8: ATO4AN4P

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/ATO4AN4PRU5AQAGEIDUGVGCOYY \
  | 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: 04ddc0378f8d3a0800c440e86a984ec63bd8c33741388a4f0f0fac2561965165

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb4b0c138ba883ea2ac7de3b66f150b1529c32424aa72f227f9f8ac605e8a432",
    "cross_cats_sorted": [
      "math.CO",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-08-26T07:12:22Z",
    "title_canon_sha256": "ad6b99529657ca13c789e62d85224ec945db35ce14d61a95857137b0064ce197"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4443",
    "kind": "arxiv",
    "version": 3
  }
}