Pith Number

pith:IA5EAPMP

pith:2019:IA5EAPMPPWIEBMMCWK7ZSFZ22U

not attested not anchored not stored refs pending

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

Peng Sun

arxiv:1908.01149 v3 · 2019-08-03 · 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{IA5EAPMPPWIEBMMCWK7ZSFZ22U}

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	2026-07-05T01:15:35.929110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

403a403d8f7d9040b182b2bf99173ad52654820d57262b85582456295f4cf1ca

Aliases

arxiv: 1908.01149 · arxiv_version: 1908.01149v3 · doi: 10.48550/arxiv.1908.01149 · pith_short_12: IA5EAPMPPWIE · pith_short_16: IA5EAPMPPWIEBMMC · pith_short_8: IA5EAPMP

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/IA5EAPMPPWIEBMMCWK7ZSFZ22U \
  | 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: 403a403d8f7d9040b182b2bf99173ad52654820d57262b85582456295f4cf1ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd9c6b8b9594bc3e49dfd290b0eadf4e3f27ae2e4a7589caf7cfcea5f1525429",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-08-03T11:30:25Z",
    "title_canon_sha256": "f297959e7b00ba0de45cfce1bc56a81cea0e88e97ae92f550ecfb1ca67ea2e62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01149",
    "kind": "arxiv",
    "version": 3
  }
}