Pith Number

pith:SOPVGVU7

pith:2006:SOPVGVU7VECQ7CVCEXL47YCRN3

not attested not anchored not stored refs pending

Isotropy Properties of the Multi-Step Markov Symbolic Sequences

O. V. Usatenko, S. S. Apostolov, V. A. Yampol'skii, Z. A. Mayzelis

arxiv:physics/0607225 v1 · 2006-07-25 · physics.data-an · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SOPVGVU7VECQ7CVCEXL47YCRN3}

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	2026-05-18T01:38:06.776703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

939f53569fa9050f8aa225d7cfe0516ec7ce15cf8e78c6531508c81dbb6da4e3

Aliases

arxiv: physics/0607225 · arxiv_version: physics/0607225v1 · doi: 10.48550/arxiv.physics/0607225 · pith_short_12: SOPVGVU7VECQ · pith_short_16: SOPVGVU7VECQ7CVC · pith_short_8: SOPVGVU7

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/SOPVGVU7VECQ7CVCEXL47YCRN3 \
  | 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: 939f53569fa9050f8aa225d7cfe0516ec7ce15cf8e78c6531508c81dbb6da4e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "914d23a98a574ddf7718f9af1b0e8c5f129c655834a2f05c420a778896eb4546",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "",
    "primary_cat": "physics.data-an",
    "submitted_at": "2006-07-25T12:08:54Z",
    "title_canon_sha256": "151273b941fef1839f130372fe3db753e3e9824f1d87d74796a89b852d81b698"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0607225",
    "kind": "arxiv",
    "version": 1
  }
}