Pith Number

pith:H76ADE3A

pith:2010:H76ADE3A2MRDPB4TKWR3UY2M3M

not attested not anchored not stored refs pending

Rigid actions need not be strongly ergodic

Adrian Ioana, Stefaan Vaes

arxiv:1006.4502 v3 · 2010-06-23 · math.OA · math.DS · 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{H76ADE3A2MRDPB4TKWR3UY2M3M}

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	2026-05-18T03:49:20.066437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ffc019360d32237879355a3ba634cdb2dc72dd60c2d96b00646a46c4152ddd4

Aliases

arxiv: 1006.4502 · arxiv_version: 1006.4502v3 · doi: 10.48550/arxiv.1006.4502 · pith_short_12: H76ADE3A2MRD · pith_short_16: H76ADE3A2MRDPB4T · pith_short_8: H76ADE3A

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/H76ADE3A2MRDPB4TKWR3UY2M3M \
  | 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: 3ffc019360d32237879355a3ba634cdb2dc72dd60c2d96b00646a46c4152ddd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd15d326aeaee2d1d2d4dc0cfdec1fedfaef75e1fd43a212ea97bd379c82b084",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-06-23T12:52:33Z",
    "title_canon_sha256": "d010572f2140c92b6af7d01ea35b420d1bc118a2294a3539aa52bc9568dbd102"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4502",
    "kind": "arxiv",
    "version": 3
  }
}