Pith Number

pith:HXSY4EUW

pith:2012:HXSY4EUWTFYTHRJZKX5TXNZCFU

not attested not anchored not stored refs pending

Ergodic actions of countable groups and finite generating partitions

Brandon Seward

arxiv:1206.6005 v1 · 2012-06-26 · 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{HXSY4EUWTFYTHRJZKX5TXNZCFU}

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	2026-05-18T03:52:37.358811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3de58e1296997133c53955fb3bb7222d05391a62892a5d0597dee99670f6cefc

Aliases

arxiv: 1206.6005 · arxiv_version: 1206.6005v1 · doi: 10.48550/arxiv.1206.6005 · pith_short_12: HXSY4EUWTFYT · pith_short_16: HXSY4EUWTFYTHRJZ · pith_short_8: HXSY4EUW

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/HXSY4EUWTFYTHRJZKX5TXNZCFU \
  | 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: 3de58e1296997133c53955fb3bb7222d05391a62892a5d0597dee99670f6cefc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0dff7aedfa7e712495a97660d866c294196f6d82bd93939603505ddc9a9b093",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-06-26T14:38:39Z",
    "title_canon_sha256": "d6f7711a29be02b29d0b6632f08fc57415a6e14948f027ab9f775ff93025061a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6005",
    "kind": "arxiv",
    "version": 1
  }
}