Pith Number

pith:PDB7XFCD

pith:2018:PDB7XFCDQEURBAEBWVR4HBYVOV

not attested not anchored not stored refs pending

Tokunaga self-similarity arises naturally from time invariance

Ilya Zaliapin, Yevgeniy Kovchegov

arxiv:1803.03741 v2 · 2018-03-10 · math.DS · math.PR · nlin.AO · 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{PDB7XFCDQEURBAEBWVR4HBYVOV}

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	2026-05-18T00:16:25.328836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78c3fb94438129108081b563c387157575410646d3dd87d7a71544f8bfb5d581

Aliases

arxiv: 1803.03741 · arxiv_version: 1803.03741v2 · doi: 10.48550/arxiv.1803.03741 · pith_short_12: PDB7XFCDQEUR · pith_short_16: PDB7XFCDQEURBAEB · pith_short_8: PDB7XFCD

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/PDB7XFCDQEURBAEBWVR4HBYVOV \
  | 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: 78c3fb94438129108081b563c387157575410646d3dd87d7a71544f8bfb5d581

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82d9ef0f336d00664ba068a2da8c10b6aa5b44b5617d8c44d351b1804b3e3c1f",
    "cross_cats_sorted": [
      "math.PR",
      "nlin.AO",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-03-10T02:18:43Z",
    "title_canon_sha256": "727d44d329b46438ab9e1fc30f15a3be4414f9998dc03cf52b96d148e77c9fd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03741",
    "kind": "arxiv",
    "version": 2
  }
}