Pith Number

pith:6ESBJPEM

pith:2009:6ESBJPEMKZM2WNIBNOJD4CR3DM

not attested not anchored not stored refs pending

Garside groups and Yang-Baxter equation

Fabienne Chouraqui

arxiv:0912.4827 v3 · 2009-12-24 · math.GR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ESBJPEMKZM2WNIBNOJD4CR3DM}

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	2026-07-05T09:43:20.260738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f12414bc8c5659ab35016b923e0a3b1b13d8e026e3510c7122782d2834fdb52e

Aliases

arxiv: 0912.4827 · arxiv_version: 0912.4827v3 · doi: 10.48550/arxiv.0912.4827 · pith_short_12: 6ESBJPEMKZM2 · pith_short_16: 6ESBJPEMKZM2WNIB · pith_short_8: 6ESBJPEM

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/6ESBJPEMKZM2WNIBNOJD4CR3DM \
  | 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: f12414bc8c5659ab35016b923e0a3b1b13d8e026e3510c7122782d2834fdb52e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c34efaf493b6c072e2bd73d4152d987dcec6414e52882a756f70c4c016f37c30",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-12-24T10:56:37Z",
    "title_canon_sha256": "60adeb8844ce320b74c17a338005969d1f474a2e0e1af3e131fdcfe12bdb4878"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4827",
    "kind": "arxiv",
    "version": 3
  }
}