Pith Number

pith:BF7SU7UL

pith:2025:BF7SU7ULBCKBLOMF3BZMEY2W6D

not attested not anchored not stored refs pending

Torus knots in adjoint representation and Vogel's universality

Andrei Mironov, Liudmila Bishler

arxiv:2506.06219 v1 · 2025-06-06 · hep-th · math-ph · math.GT · math.MP · 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{BF7SU7ULBCKBLOMF3BZMEY2W6D}

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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

2 papers in Pith

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

A note on universality in refined Chern-Simons theory

Receipt and verification

First computed	2026-07-05T12:01:23.255590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

097f2a7e8b089415b985d872c26356f0cd4139d17f9955de20cb5b55296fb913

Aliases

arxiv: 2506.06219 · arxiv_version: 2506.06219v1 · doi: 10.48550/arxiv.2506.06219 · pith_short_12: BF7SU7ULBCKB · pith_short_16: BF7SU7ULBCKBLOMF · pith_short_8: BF7SU7UL

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/BF7SU7ULBCKBLOMF3BZMEY2W6D \
  | 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: 097f2a7e8b089415b985d872c26356f0cd4139d17f9955de20cb5b55296fb913

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "361507527aa7d407126f0dd21dbf22c551a56670d88a5ae034f951f90b011e80",
    "cross_cats_sorted": [
      "math-ph",
      "math.GT",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-06-06T16:27:25Z",
    "title_canon_sha256": "f3a000b5eb853e3342796fc776089e7ad5c8b94a744a986b20e10a03f31cd9f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06219",
    "kind": "arxiv",
    "version": 1
  }
}