pith. sign in
Pith Number

pith:PAUUPMUX

pith:2015:PAUUPMUXFWEVQ3SGL6AQPEATMF
not attested not anchored not stored refs pending

Universal Racah matrices and adjoint knot polynomials. I. Arborescent knots

A.Mironov, A.Morozov

arxiv:1511.09077 v2 · 2015-11-29 · hep-th · math.GT · math.QA · math.RT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PAUUPMUXFWEVQ3SGL6AQPEATMF}

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

3 papers in Pith

Receipt and verification
First computed 2026-05-18T00:26:38.036229Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

782947b2972d89586e465f8107901361618407b7b458b8bf964babff81089323

Aliases

arxiv: 1511.09077 · arxiv_version: 1511.09077v2 · doi: 10.48550/arxiv.1511.09077 · pith_short_12: PAUUPMUXFWEV · pith_short_16: PAUUPMUXFWEVQ3SG · pith_short_8: PAUUPMUX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PAUUPMUXFWEVQ3SGL6AQPEATMF \
  | 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: 782947b2972d89586e465f8107901361618407b7b458b8bf964babff81089323
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bbb0fef0c127e22662acf5183a033be223f22e7160ba85285a3e4a52ea293209",
    "cross_cats_sorted": [
      "math.GT",
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-11-29T19:55:24Z",
    "title_canon_sha256": "1d4d20c9f58b67e7c2e6d548024db1cb6b3b8e803618c0b5fbc28cede4c4f310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09077",
    "kind": "arxiv",
    "version": 2
  }
}