Pith Number

pith:27URHHPH

pith:2019:27URHHPHYNCRKQ4GIJRIRQT3TK

not attested not anchored not stored refs pending

Ergodic measures of intermediate entropies for dynamical systems with the approximate product property

Peng Sun

arxiv:1906.09862 v6 · 2019-06-24 · math.DS

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{27URHHPHYNCRKQ4GIJRIRQT3TK}

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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.

Cited by

1 paper in Pith

Unique ergodicity for zero-entropy dynamical systems with the approximate product property

Receipt and verification

First computed	2026-07-05T05:02:08.062453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7e9139de7c345154386426288c27b9a87d9e70929cbe4159ad093e6811b7b81

Aliases

arxiv: 1906.09862 · arxiv_version: 1906.09862v6 · doi: 10.48550/arxiv.1906.09862 · pith_short_12: 27URHHPHYNCR · pith_short_16: 27URHHPHYNCRKQ4G · pith_short_8: 27URHHPH

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/27URHHPHYNCRKQ4GIJRIRQT3TK \
  | 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: d7e9139de7c345154386426288c27b9a87d9e70929cbe4159ad093e6811b7b81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39f916183e24a0777dcb01e367d283d5481487eeed774286a8dbbc55d43f7e76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-06-24T11:43:42Z",
    "title_canon_sha256": "71e541d1dcb30d06d30efd1d25c0ef265d989fd00ea555d0f462876eb7790b0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09862",
    "kind": "arxiv",
    "version": 6
  }
}