Pith Number

pith:SQEBASHN

pith:2012:SQEBASHNDYOCVNC2WYRYUIITYG

not attested not anchored not stored refs pending

Random Orderings and Unique Ergodicity of Automorphism Groups

Alexander S. Kechris, Omer Angel, Russell Lyons

arxiv:1208.2389 v1 · 2012-08-12 · math.DS · math.CO · math.LO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SQEBASHNDYOCVNC2WYRYUIITYG}

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	2026-05-18T00:06:21.211162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94081048ed1e1c2ab45ab6238a2113c1b5d244785b457045de4a49189e72f511

Aliases

arxiv: 1208.2389 · arxiv_version: 1208.2389v1 · doi: 10.48550/arxiv.1208.2389 · pith_short_12: SQEBASHNDYOC · pith_short_16: SQEBASHNDYOCVNC2 · pith_short_8: SQEBASHN

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/SQEBASHNDYOCVNC2WYRYUIITYG \
  | 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: 94081048ed1e1c2ab45ab6238a2113c1b5d244785b457045de4a49189e72f511

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4409311d592d431f6c80417cac877d98532ef790c002b7326928a9279a77ec6a",
    "cross_cats_sorted": [
      "math.CO",
      "math.LO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-08-12T01:00:11Z",
    "title_canon_sha256": "6154722bffa999e8fddf9eb4762af9de1abb65cbc6854c29dd5d0df96a164b55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2389",
    "kind": "arxiv",
    "version": 1
  }
}