Pith Number

pith:25C3FZTR

pith:2025:25C3FZTRL5OZJQA2R4JOK7COLB

not attested not anchored not stored refs pending

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations

Andr\'as Moln\'ar, Germ\'an Sierra, Jos\'e Garre-Rubio

arxiv:2507.22541 v1 · 2025-07-30 · quant-ph · cond-mat.str-el · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{25C3FZTRL5OZJQA2R4JOK7COLB}

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	2026-07-05T11:45:44.262484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d745b2e6715f5d94c01a8f12e57c4e587959731bfb37621c8cae17278b7c8040

Aliases

arxiv: 2507.22541 · arxiv_version: 2507.22541v1 · doi: 10.48550/arxiv.2507.22541 · pith_short_12: 25C3FZTRL5OZ · pith_short_16: 25C3FZTRL5OZJQA2 · pith_short_8: 25C3FZTR

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/25C3FZTRL5OZJQA2R4JOK7COLB \
  | 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: d745b2e6715f5d94c01a8f12e57c4e587959731bfb37621c8cae17278b7c8040

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c588ba7928c7f1373a9e5d1df616e31cd0cfda61b2f522dc44d6703759896a7",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-07-30T10:13:11Z",
    "title_canon_sha256": "1e59550bfd005f460b2f13e86c4de12a64e0a8e0a406d3531742975532321785"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.22541",
    "kind": "arxiv",
    "version": 1
  }
}