Pith Number

pith:KO3ACXHC

pith:2012:KO3ACXHCGRAG7QRUJPEDUT62U6

not attested not anchored not stored refs pending

Eigenvalue hypothesis for Racah matrices and HOMFLY polynomials for 3-strand knots in any symmetric and antisymmetric representations

A.Mironov, A.Morozov, An.Morozov, H.Itoyama

arxiv:1209.6304 v1 · 2012-09-27 · math-ph · hep-th · math.GT · math.MP · math.QA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KO3ACXHCGRAG7QRUJPEDUT62U6}

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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

Racah matrices for the symmetric representation of the SO(5) group

Receipt and verification

First computed	2026-05-18T03:31:29.432923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53b6015ce234406fc2344bc83a4fdaa7becc3b3f7919e6f69f3c7e08dede83bf

Aliases

arxiv: 1209.6304 · arxiv_version: 1209.6304v1 · doi: 10.48550/arxiv.1209.6304 · pith_short_12: KO3ACXHCGRAG · pith_short_16: KO3ACXHCGRAG7QRU · pith_short_8: KO3ACXHC

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/KO3ACXHCGRAG7QRUJPEDUT62U6 \
  | 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: 53b6015ce234406fc2344bc83a4fdaa7becc3b3f7919e6f69f3c7e08dede83bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b183787a955c574589707d89c0b8b150ca35e0edf1e728335c2f43b204ff5ea",
    "cross_cats_sorted": [
      "hep-th",
      "math.GT",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-27T17:51:48Z",
    "title_canon_sha256": "4bb72677149b3b54c7d1d625e9e8f1f8a0580c7e7c4b0b463c7b285a8ad0fdfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6304",
    "kind": "arxiv",
    "version": 1
  }
}