Pith Number

pith:QQOG7ACR

pith:2025:QQOG7ACRZYJTOJK22655LX5ISW

not attested not anchored not stored refs pending

Ergodic Optimization for Open Expanding Multi-valued Topological Dynamical Systems

Oliver Jenkinson, Xiaoran Li, Yiwei Zhang, Yuexin Liao

arxiv:2503.18092 v2 · 2025-03-23 · 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{QQOG7ACRZYJTOJK22655LX5ISW}

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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

Typical Uniqueness in Ergodic Optimization

Receipt and verification

First computed	2026-07-05T11:14:05.921210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

841c6f8051ce1337255ad7bbd5dfa895bc085ddcc3805bb372a8ca46ad93bbc1

Aliases

arxiv: 2503.18092 · arxiv_version: 2503.18092v2 · doi: 10.48550/arxiv.2503.18092 · pith_short_12: QQOG7ACRZYJT · pith_short_16: QQOG7ACRZYJTOJK2 · pith_short_8: QQOG7ACR

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/QQOG7ACRZYJTOJK22655LX5ISW \
  | 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: 841c6f8051ce1337255ad7bbd5dfa895bc085ddcc3805bb372a8ca46ad93bbc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f25e67436f57af93ecdf2d405c75950b8216606970a428e50599e195b778fa1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-03-23T14:44:25Z",
    "title_canon_sha256": "85d5d269734176a92dd2c682740feea7b0f3c86f9f9ffc39c991eb4b61692fa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.18092",
    "kind": "arxiv",
    "version": 2
  }
}