Pith Number

pith:GOEXDRZB

pith:2015:GOEXDRZB4A3M4D64S3J5RTYJ5H

not attested not anchored not stored refs pending

A note on set-theoretic solutions of the Yang-Baxter equation

Agata Smoktunowicz

arxiv:1512.06642 v4 · 2015-12-21 · 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{GOEXDRZB4A3M4D64S3J5RTYJ5H}

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	2026-05-18T00:27:48.496807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

338971c721e036ce0fdc96d3d8cf09e9f0073d6ee91f2a4b879a9985440c50ae

Aliases

arxiv: 1512.06642 · arxiv_version: 1512.06642v4 · doi: 10.48550/arxiv.1512.06642 · pith_short_12: GOEXDRZB4A3M · pith_short_16: GOEXDRZB4A3M4D64 · pith_short_8: GOEXDRZB

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/GOEXDRZB4A3M4D64S3J5RTYJ5H \
  | 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: 338971c721e036ce0fdc96d3d8cf09e9f0073d6ee91f2a4b879a9985440c50ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ed211d25213e83908fa500b9f3d7bd71d877fa4884c3f6043807d729edced57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-12-21T14:31:23Z",
    "title_canon_sha256": "a998fe2fa2f6fc98a3bf95010e56c60448cbc0cb88891ab89b056271dbaf22eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06642",
    "kind": "arxiv",
    "version": 4
  }
}