Pith Number

pith:65SVUU26

pith:2018:65SVUU264SGVJ4UFXNTBZL2AOZ

not attested not anchored not stored refs pending

Liouville property of strongly transitive actions

Kate Juschenko

arxiv:1806.02753 v2 · 2018-06-07 · 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{65SVUU264SGVJ4UFXNTBZL2AOZ}

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	2026-05-18T00:06:01.738087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7655a535ee48d54f285bb661caf407659863ae5bad0609ce1e255f6e4846feb

Aliases

arxiv: 1806.02753 · arxiv_version: 1806.02753v2 · doi: 10.48550/arxiv.1806.02753 · pith_short_12: 65SVUU264SGV · pith_short_16: 65SVUU264SGVJ4UF · pith_short_8: 65SVUU26

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/65SVUU264SGVJ4UFXNTBZL2AOZ \
  | 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: f7655a535ee48d54f285bb661caf407659863ae5bad0609ce1e255f6e4846feb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fd9a1827016798fa561a50b878d6f258918b4bd4f3e1544c4a7dc3030904bcc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-06-07T16:14:13Z",
    "title_canon_sha256": "6827e641cb7f1504acc8d7341dca645ecc887f644063aa19c7d99c12e9e5a3c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02753",
    "kind": "arxiv",
    "version": 2
  }
}