Pith Number

pith:SKEDZXKS

pith:2025:SKEDZXKSUFIK7FAESNTBTOZR75

not attested not anchored not stored refs pending

The binary product in the 2-category of triangular bialgebras and twisted morphisms

Alessandro Ardizzoni, Andrea Sciandra

arxiv:2506.16469 v2 · 2025-06-19 · math.QA · math.CT · 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{SKEDZXKSUFIK7FAESNTBTOZR75}

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	2026-05-27T01:04:48.861562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92883cdd52a150af9404936619bb31ff7eb86cb68f48446962ca285cf8be83ab

Aliases

arxiv: 2506.16469 · arxiv_version: 2506.16469v2 · doi: 10.48550/arxiv.2506.16469 · pith_short_12: SKEDZXKSUFIK · pith_short_16: SKEDZXKSUFIK7FAE · pith_short_8: SKEDZXKS

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/SKEDZXKSUFIK7FAESNTBTOZR75 \
  | 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: 92883cdd52a150af9404936619bb31ff7eb86cb68f48446962ca285cf8be83ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c51f619c8f4bb704c65e90c7b383d6f966813aaeaf3662eefc983075c35aed0",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2025-06-19T17:10:48Z",
    "title_canon_sha256": "ededc1570e85cfa0608cf4159c3765e3f79ccc9be1f5a03cd9c2d08603b36914"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.16469",
    "kind": "arxiv",
    "version": 2
  }
}