Pith Number

pith:5YUJKXCF

pith:2015:5YUJKXCFFMB7PO5GHJUYLNLRJA

not attested not anchored not stored refs pending

On the relationship between the Hurst exponent, the ratio of the mean square successive difference to the variance, and the number of turning points

Mariusz Tarnopolski

arxiv:1512.02928 v4 · 2015-12-09 · physics.data-an · math.DS · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5YUJKXCFFMB7PO5GHJUYLNLRJA}

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	2026-05-18T01:10:51.836648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee28955c452b03f7bba63a6985b571481fecae4ddcd053d59bbbdb80708d1510

Aliases

arxiv: 1512.02928 · arxiv_version: 1512.02928v4 · doi: 10.48550/arxiv.1512.02928 · pith_short_12: 5YUJKXCFFMB7 · pith_short_16: 5YUJKXCFFMB7PO5G · pith_short_8: 5YUJKXCF

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/5YUJKXCFFMB7PO5GHJUYLNLRJA \
  | 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: ee28955c452b03f7bba63a6985b571481fecae4ddcd053d59bbbdb80708d1510

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a99b55fae842f5c13abc5234aa76b87b58a305ec39e01793b014e3e67f93dc44",
    "cross_cats_sorted": [
      "math.DS",
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2015-12-09T16:26:17Z",
    "title_canon_sha256": "b58459bf604c51afb04e8b1bbabdf4b6720d931d647ee42866d909bab02b0f96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02928",
    "kind": "arxiv",
    "version": 4
  }
}