Pith Number

pith:F2Q6WROB

pith:2015:F2Q6WROBR5O4OAW4U7IMM2EOIF

not attested not anchored not stored refs pending

A family of irretractable square-free solutions of the Yang-Baxter equation

David Bachiller, Eric Jespers, Ferran Cedo, Jan Okninski

arxiv:1511.07769 v2 · 2015-11-24 · math.GR · 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{F2Q6WROBR5O4OAW4U7IMM2EOIF}

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	2026-05-18T01:03:10.751151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ea1eb45c18f5dc702dca7d0c6688e414320eea793c92dcc5d699073bab56227

Aliases

arxiv: 1511.07769 · arxiv_version: 1511.07769v2 · doi: 10.48550/arxiv.1511.07769 · pith_short_12: F2Q6WROBR5O4 · pith_short_16: F2Q6WROBR5O4OAW4 · pith_short_8: F2Q6WROB

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/F2Q6WROBR5O4OAW4U7IMM2EOIF \
  | 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: 2ea1eb45c18f5dc702dca7d0c6688e414320eea793c92dcc5d699073bab56227

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "958c628d2b09ad831515dd4a5378f6e8767e1b73be0b189a0207c291d2bcf007",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-11-24T16:01:25Z",
    "title_canon_sha256": "d7e3335e1b1ddb81c70b7c7ea15d098e96a4890e52d1265ce4fc7c1cb4b7e028"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07769",
    "kind": "arxiv",
    "version": 2
  }
}