Pith Number

pith:G4FXN5KZ

pith:2018:G4FXN5KZQQQW7LEIFAXMKRFUVX

not attested not anchored not stored refs pending

Lacunarity Exponents

Alain Pumir, Greg Huber, Marc Pradas, Michael Wilkinson

arxiv:1806.00748 v1 · 2018-06-03 · 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{G4FXN5KZQQQW7LEIFAXMKRFUVX}

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	2026-05-17T23:50:13.523427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

370b76f55984216fac88282ec544b4adeb7c686e7c2387a42c751b297a12f1a3

Aliases

arxiv: 1806.00748 · arxiv_version: 1806.00748v1 · doi: 10.48550/arxiv.1806.00748 · pith_short_12: G4FXN5KZQQQW · pith_short_16: G4FXN5KZQQQW7LEI · pith_short_8: G4FXN5KZ

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/G4FXN5KZQQQW7LEIFAXMKRFUVX \
  | 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: 370b76f55984216fac88282ec544b4adeb7c686e7c2387a42c751b297a12f1a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e95a54455bf9836496c488fbb45599c6e181be396fd60434f039aa7be834b3cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2018-06-03T08:03:28Z",
    "title_canon_sha256": "b68b496fe20342cfa8fb06bd6f2a90786487cdadf0cdad79eb0e6b5282778a6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00748",
    "kind": "arxiv",
    "version": 1
  }
}