Pith Number

pith:BVNA36F4

pith:2026:BVNA36F4XHTR4FXJHQ4ASLAI3A

not attested not anchored not stored refs pending

Empirical One-Step Conditional Entropy in Infinite Ergodic Systems: Vanishing Entropy Rate, Sparse-Transition Scaling, and Mittag-Leffler Fluctuations

Ken-ichi Okubo

arxiv:2606.05685 v1 · 2026-06-04 · nlin.CD

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BVNA36F4XHTR4FXJHQ4ASLAI3A}

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	2026-06-05T01:14:59.243039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d5a0df8bcb9e71e16e93c38092c08d8291c231efc81560637e9045f28dc9fd4

Aliases

arxiv: 2606.05685 · arxiv_version: 2606.05685v1 · doi: 10.48550/arxiv.2606.05685 · pith_short_12: BVNA36F4XHTR · pith_short_16: BVNA36F4XHTR4FXJ · pith_short_8: BVNA36F4

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/BVNA36F4XHTR4FXJHQ4ASLAI3A \
  | 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: 0d5a0df8bcb9e71e16e93c38092c08d8291c231efc81560637e9045f28dc9fd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91a9e6c05b674dade7f89621bc535f31055e57febf59b52c32113e913f612df2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2026-06-04T04:09:16Z",
    "title_canon_sha256": "233f9336e6b54ef186dc8a721eab615f0608b44f6e7fe0699c7c2ea9bae6278f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05685",
    "kind": "arxiv",
    "version": 1
  }
}