Pith Number

pith:RX2HWT3G

pith:2017:RX2HWT3GTCWH6FHK5TARBRWF4X

not attested not anchored not stored refs pending

A relative, strictly ergodic model theorem for infinite measure-preserving systems

Hisatoshi Yuasa

arxiv:1709.05387 v2 · 2017-09-15 · 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{RX2HWT3GTCWH6FHK5TARBRWF4X}

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	2026-05-18T00:21:40.879762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8df47b4f6698ac7f14eaecc110c6c5e5c1dacb3974c45cdc24cb9faa7619ca7e

Aliases

arxiv: 1709.05387 · arxiv_version: 1709.05387v2 · doi: 10.48550/arxiv.1709.05387 · pith_short_12: RX2HWT3GTCWH · pith_short_16: RX2HWT3GTCWH6FHK · pith_short_8: RX2HWT3G

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/RX2HWT3GTCWH6FHK5TARBRWF4X \
  | 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: 8df47b4f6698ac7f14eaecc110c6c5e5c1dacb3974c45cdc24cb9faa7619ca7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "922d050d4995062caa8aca5ad642b84b21ad98fd5df4a01c3c1e716eaae3ea4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-09-15T20:15:30Z",
    "title_canon_sha256": "4b36054d7c6773d3a636ae48c85ca47aaa402a9b77efb55640a8a54ea3d70521"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05387",
    "kind": "arxiv",
    "version": 2
  }
}