Pith Number

pith:SZ7MHVCH

pith:2013:SZ7MHVCHVXI5JUVKEOVNWOOMHX

not attested not anchored not stored refs pending

Algorithms for Garside calculus

Patrick Dehornoy (LMNO), Volker Gebhardt

arxiv:1301.3277 v1 · 2013-01-15 · 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{SZ7MHVCHVXI5JUVKEOVNWOOMHX}

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	2026-05-18T02:58:13.184016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

967ec3d447add1d4d2aa23aadb39cc3df39ddd8b5689dcaa9b91e79facec2db9

Aliases

arxiv: 1301.3277 · arxiv_version: 1301.3277v1 · doi: 10.48550/arxiv.1301.3277 · pith_short_12: SZ7MHVCHVXI5 · pith_short_16: SZ7MHVCHVXI5JUVK · pith_short_8: SZ7MHVCH

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/SZ7MHVCHVXI5JUVKEOVNWOOMHX \
  | 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: 967ec3d447add1d4d2aa23aadb39cc3df39ddd8b5689dcaa9b91e79facec2db9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21828f030f5972a58c96d95b6225c0a5771f1f970f0a95c64b9dffb2b3cb31a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-01-15T09:33:32Z",
    "title_canon_sha256": "f6cd112d6296c67116980171114a01680c8933b08065a4c1e7f899fd1b2f69de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3277",
    "kind": "arxiv",
    "version": 1
  }
}