Pith Number

pith:NKSAQBRB

pith:2015:NKSAQBRBAEVWNB4UB72UF7RPIZ

not attested not anchored not stored refs pending

The scale function and tidy subgroups

Adrien Le Boudec, Albrecht Brehm, Maxime Gheysens, Rafaela Rollin

arxiv:1511.09238 v1 · 2015-11-30 · 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{NKSAQBRBAEVWNB4UB72UF7RPIZ}

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	2026-05-18T01:25:40.749944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aa4080621012b6687940ff542fe2f4669c157444910adaf34cbff9d5a96d367

Aliases

arxiv: 1511.09238 · arxiv_version: 1511.09238v1 · doi: 10.48550/arxiv.1511.09238 · pith_short_12: NKSAQBRBAEVW · pith_short_16: NKSAQBRBAEVWNB4U · pith_short_8: NKSAQBRB

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/NKSAQBRBAEVWNB4UB72UF7RPIZ \
  | 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: 6aa4080621012b6687940ff542fe2f4669c157444910adaf34cbff9d5a96d367

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a52b5271b35a89136e6a1f9b59467b6afe89c4b0256d2adae751263c081829b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-11-30T10:49:29Z",
    "title_canon_sha256": "962a3357dac2d7d3722aa0a4ffda01e8a5db8c555ab4a9e9f1363a833622363e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09238",
    "kind": "arxiv",
    "version": 1
  }
}