Pith Number

pith:K3UNTE4V

pith:2010:K3UNTE4VCJIRBBYMMQR6TX33CZ

not attested not anchored not stored refs pending

Description of stochastic and chaotic series using visibility graphs

Lucas Lacasa, Raul Toral

arxiv:1010.2931 v1 · 2010-10-14 · physics.data-an · 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{K3UNTE4VCJIRBBYMMQR6TX33CZ}

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	2026-05-18T02:05:05.009738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56e8d99395125110870c6423e9df7b16723bdd1c2e4ebb49f44066adbdfc2932

Aliases

arxiv: 1010.2931 · arxiv_version: 1010.2931v1 · doi: 10.48550/arxiv.1010.2931 · pith_short_12: K3UNTE4VCJIR · pith_short_16: K3UNTE4VCJIRBBYM · pith_short_8: K3UNTE4V

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/K3UNTE4VCJIRBBYMMQR6TX33CZ \
  | 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: 56e8d99395125110870c6423e9df7b16723bdd1c2e4ebb49f44066adbdfc2932

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "297a694d2f16fe42c3692cd4ad7d11c3fce5e98bfc1246c39145736ba3da59bb",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2010-10-14T14:20:42Z",
    "title_canon_sha256": "7512b90202780824c11943cf4a7a54efa34121843cec3c048f7f95b87b10e5d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2931",
    "kind": "arxiv",
    "version": 1
  }
}