Pith Number

pith:7WU45CLY

pith:2014:7WU45CLYU2JJREBKQAC5KW3WE2

not attested not anchored not stored refs pending

Set-theoretic solutions of the Yang-Baxter equation, RC-calculus, and Garside germs

Patrick Dehornoy (LMNO, PPS)

arxiv:1403.3019 v3 · 2014-03-12 · 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{7WU45CLYU2JJREBKQAC5KW3WE2}

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	2026-05-18T02:52:33.835115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fda9ce8978a69298902a8005d55b7626a81b005f6927dd812d89ba4f926bb6b4

Aliases

arxiv: 1403.3019 · arxiv_version: 1403.3019v3 · doi: 10.48550/arxiv.1403.3019 · pith_short_12: 7WU45CLYU2JJ · pith_short_16: 7WU45CLYU2JJREBK · pith_short_8: 7WU45CLY

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/7WU45CLYU2JJREBKQAC5KW3WE2 \
  | 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: fda9ce8978a69298902a8005d55b7626a81b005f6927dd812d89ba4f926bb6b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93eb26f8701c1195f4fc33b0e49a52c7414e9d2399eb629df02e325e87187a9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-03-12T16:43:24Z",
    "title_canon_sha256": "d7ac29bb7e5aed8ca7fa279c775366390fd57b7c91d2a6e5197ab35a9af425ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3019",
    "kind": "arxiv",
    "version": 3
  }
}