Pith Number

pith:SNS52M73

pith:2016:SNS52M73LP7WAV75P56DPY3MDK

not attested not anchored not stored refs pending

Solutions of the Yang-Baxter equation associated to skew left braces, with applications to racks

David Bachiller

arxiv:1611.08138 v1 · 2016-11-24 · math.QA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SNS52M73LP7WAV75P56DPY3MDK}

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	2026-05-18T00:56:44.271675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9365dd33fb5bff6057fd7f7c37e36c1a92b2c4945b0d862dad926c439b6a285c

Aliases

arxiv: 1611.08138 · arxiv_version: 1611.08138v1 · doi: 10.48550/arxiv.1611.08138 · pith_short_12: SNS52M73LP7W · pith_short_16: SNS52M73LP7WAV75 · pith_short_8: SNS52M73

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/SNS52M73LP7WAV75P56DPY3MDK \
  | 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: 9365dd33fb5bff6057fd7f7c37e36c1a92b2c4945b0d862dad926c439b6a285c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b0315f5683a251703b2c79e5a2ee66a408fed758d08f458492d79178b59cede",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-11-24T11:13:37Z",
    "title_canon_sha256": "304cfb69f6a477a0fdeed2e1ded2ac9a87e937761eb7617d63d049feb2c6bdb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08138",
    "kind": "arxiv",
    "version": 1
  }
}