Pith Number

pith:ABEYXEBJ

pith:2012:ABEYXEBJ5LSMVCRL2E3E4WX7TX

not attested not anchored not stored refs pending

On $n$-scrambled tuples and distributional chaos in a sequence

Jian Li, Piotr Oprocha

arxiv:1205.6859 v1 · 2012-05-31 · 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{ABEYXEBJ5LSMVCRL2E3E4WX7TX}

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	2026-05-18T03:18:31.843139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00498b9029eae4ca8a2bd1364e5aff9dff7407d90ab959eabb84a3a2388c7a43

Aliases

arxiv: 1205.6859 · arxiv_version: 1205.6859v1 · doi: 10.48550/arxiv.1205.6859 · pith_short_12: ABEYXEBJ5LSM · pith_short_16: ABEYXEBJ5LSMVCRL · pith_short_8: ABEYXEBJ

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/ABEYXEBJ5LSMVCRL2E3E4WX7TX \
  | 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: 00498b9029eae4ca8a2bd1364e5aff9dff7407d90ab959eabb84a3a2388c7a43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64a13707786c52fc82b1684c2d478d78ea84f975acde7127fc35f668e7743bfd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-05-31T00:26:05Z",
    "title_canon_sha256": "7837208b907fdbe4716093fd0f7258e50f0c2e51df2eb8f78226b8790b1bc22d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6859",
    "kind": "arxiv",
    "version": 1
  }
}