Pith Number

pith:VU6BQPUG

pith:2017:VU6BQPUG3KRN45QUZ6BA5HZDIU

not attested not anchored not stored refs pending

Classifying spaces from Ore categories with Garside families

Stefan Witzel

arxiv:1710.02992 v1 · 2017-10-09 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VU6BQPUG3KRN45QUZ6BA5HZDIU}

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	2026-05-17T23:45:00.086215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad3c183e86daa2de7614cf820e9f23451aec6c62a59c2e586898065349e33103

Aliases

arxiv: 1710.02992 · arxiv_version: 1710.02992v1 · doi: 10.48550/arxiv.1710.02992 · pith_short_12: VU6BQPUG3KRN · pith_short_16: VU6BQPUG3KRN45QU · pith_short_8: VU6BQPUG

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/VU6BQPUG3KRN45QUZ6BA5HZDIU \
  | 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: ad3c183e86daa2de7614cf820e9f23451aec6c62a59c2e586898065349e33103

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b98af879272d926dbb8ce9a4f4a5857cfceb9aae1e23c73eae22aa0e81f1d91a",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-10-09T08:45:17Z",
    "title_canon_sha256": "038ea756ce75e28da308012a108ab44fc4cced607c3072699415e71312156100"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02992",
    "kind": "arxiv",
    "version": 1
  }
}