Pith Number

pith:KKKYRVLE

pith:2018:KKKYRVLE4ZNARJ5M52SARYAMDT

not attested not anchored not stored refs pending

Left semi-braces and solutions to the Yang-Baxter equation

Arne Van Antwerpen, Eric Jespers

arxiv:1802.09993 v1 · 2018-02-27 · math.GR · math.QA · 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{KKKYRVLE4ZNARJ5M52SARYAMDT}

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	2026-05-18T00:22:21.664385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

529588d564e65a08a7aceea408e00c1cc7f9a2dc116f3c394293acea4fd10fc1

Aliases

arxiv: 1802.09993 · arxiv_version: 1802.09993v1 · doi: 10.48550/arxiv.1802.09993 · pith_short_12: KKKYRVLE4ZNA · pith_short_16: KKKYRVLE4ZNARJ5M · pith_short_8: KKKYRVLE

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/KKKYRVLE4ZNARJ5M52SARYAMDT \
  | 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: 529588d564e65a08a7aceea408e00c1cc7f9a2dc116f3c394293acea4fd10fc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cd0ef4d0503bf0522e2c6c38a504c7b664a8c33554661208060de27bbac448d",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-02-27T16:12:32Z",
    "title_canon_sha256": "4a14be04326f4bb94bebcacd5dc4fb22498205436e21304a73395f150fe7e338"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09993",
    "kind": "arxiv",
    "version": 1
  }
}