Pith Number

pith:PK4HZP5C

pith:2013:PK4HZP5CJETMWNISHLI2NML73Z

not attested not anchored not stored refs pending

Amenable equivalence relations and the construction of ergodic averages for group actions

Amos Nevo, Lewis Bowen

arxiv:1303.4426 v1 · 2013-03-18 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PK4HZP5CJETMWNISHLI2NML73Z}

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	2026-05-18T03:30:27.266819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ab87cbfa24926cb35123ad1a6b17fde59b4c5e47c899a630d982e0f8de118fb

Aliases

arxiv: 1303.4426 · arxiv_version: 1303.4426v1 · doi: 10.48550/arxiv.1303.4426 · pith_short_12: PK4HZP5CJETM · pith_short_16: PK4HZP5CJETMWNIS · pith_short_8: PK4HZP5C

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/PK4HZP5CJETMWNISHLI2NML73Z \
  | 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: 7ab87cbfa24926cb35123ad1a6b17fde59b4c5e47c899a630d982e0f8de118fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "886d6908a9f13f7df77dff946308ff6c4a7b0cba0e5657a5a47f274573d2b604",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-03-18T21:05:49Z",
    "title_canon_sha256": "5ba1b8ca47cbabfd7d05c2c57430af8f5449d9461c8b4187a97bc6915b449510"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4426",
    "kind": "arxiv",
    "version": 1
  }
}