Pith Number

pith:ZHWQ4ZTC

pith:2026:ZHWQ4ZTCDV2J6UW2NOUCRKG2SI

not attested not anchored not stored refs pending

On the structure and representations of quantum graph algebras at roots of unity

Matthieu Faitg, Philippe Roche, St\'ephane Baseilhac

arxiv:2601.08789 v2 · 2026-01-13 · math.QA · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHWQ4ZTCDV2J6UW2NOUCRKG2SI}

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	2026-06-09T02:07:17.424114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9ed0e66621d749f52da6ba828a8da92383b077ced4697fe8cb18cb55304894f

Aliases

arxiv: 2601.08789 · arxiv_version: 2601.08789v2 · doi: 10.48550/arxiv.2601.08789 · pith_short_12: ZHWQ4ZTCDV2J · pith_short_16: ZHWQ4ZTCDV2J6UW2 · pith_short_8: ZHWQ4ZTC

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/ZHWQ4ZTCDV2J6UW2NOUCRKG2SI \
  | 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: c9ed0e66621d749f52da6ba828a8da92383b077ced4697fe8cb18cb55304894f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2d90a52be5319325c4fbd0f44b2b9961abe404f4dd55528c3b10f6de0db8e3b",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2026-01-13T18:22:16Z",
    "title_canon_sha256": "d316763cd8ce769e2e7783c99e5444e9ffd7e1ce3f15d157874ceacb83eec94b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.08789",
    "kind": "arxiv",
    "version": 2
  }
}