Pith Number

pith:OFZLG5NC

pith:2015:OFZLG5NCDXJSAGTO2YQYCWNH2H

not attested not anchored not stored refs pending

Two results on entropy, chaos, and independence in symbolic dynamics

Dominik Kwietniak, Fryderyk Falniowski, Jian Li, Marcin Kulczycki

arxiv:1502.03981 v1 · 2015-02-13 · 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{OFZLG5NCDXJSAGTO2YQYCWNH2H}

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	2026-05-18T01:24:03.937132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7172b375a21dd3201a6ed6218159a7d1d65c9f0ae445241c94178823d1e381ee

Aliases

arxiv: 1502.03981 · arxiv_version: 1502.03981v1 · doi: 10.48550/arxiv.1502.03981 · pith_short_12: OFZLG5NCDXJS · pith_short_16: OFZLG5NCDXJSAGTO · pith_short_8: OFZLG5NC

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/OFZLG5NCDXJSAGTO2YQYCWNH2H \
  | 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: 7172b375a21dd3201a6ed6218159a7d1d65c9f0ae445241c94178823d1e381ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8785c1f08ed58f3f580e8187ad13961e047f41f2876471108dae9e9061a24a55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-02-13T13:39:08Z",
    "title_canon_sha256": "0d76be3090f0307517d2ed5a84034ba84839ef7414d23b6d0f3d91be8cc32ade"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03981",
    "kind": "arxiv",
    "version": 1
  }
}