Pith Number

pith:XQ7V7VJJ

pith:2026:XQ7V7VJJP5WBIM2CQF6CDW6ATN

not attested not anchored not stored refs pending

Set-theoretic solutions of the Yang-Baxter equation from inverse braces

Francesco Catino, Marzia Mazzotta, Susanna Tieni

arxiv:2607.16045 v1 · 2026-07-17 · 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{XQ7V7VJJP5WBIM2CQF6CDW6ATN}

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	2026-07-20T02:19:27.960755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc3f5fd5297f6c143342817c21dbc09b7e7cb7a2c7558255cd88df8eb5f799bb

Aliases

arxiv: 2607.16045 · arxiv_version: 2607.16045v1 · doi: 10.48550/arxiv.2607.16045 · pith_short_12: XQ7V7VJJP5WB · pith_short_16: XQ7V7VJJP5WBIM2C · pith_short_8: XQ7V7VJJ

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/XQ7V7VJJP5WBIM2CQF6CDW6ATN \
  | 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: bc3f5fd5297f6c143342817c21dbc09b7e7cb7a2c7558255cd88df8eb5f799bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2abf67f0a40c5da74d9373c2edb651139bdff33bb8862964f89d1bd8560a8e85",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2026-07-17T15:16:58Z",
    "title_canon_sha256": "a1c7d8d2bebe81f64eb5f90df132f7b016ea05a339883c829a9f8a8838eb4be5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16045",
    "kind": "arxiv",
    "version": 1
  }
}