Pith Number

pith:C62NN4GG

pith:2009:C62NN4GG4RUXWHWB3SP2Z6J3TO

not attested not anchored not stored refs pending

Thinning, Entropy and the Law of Thin Numbers

Ioannis Kontoyiannis, Oliver Johnson, Peter Harremoes

arxiv:0906.0690 v1 · 2009-06-03 · cs.IT · math.IT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C62NN4GG4RUXWHWB3SP2Z6J3TO}

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	2026-05-18T04:42:13.857939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17b4d6f0c6e4697b1ec1dc9facf93b9b98ce659c5d508ae6e0a7aa7fe6fa396d

Aliases

arxiv: 0906.0690 · arxiv_version: 0906.0690v1 · doi: 10.48550/arxiv.0906.0690 · pith_short_12: C62NN4GG4RUX · pith_short_16: C62NN4GG4RUXWHWB · pith_short_8: C62NN4GG

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/C62NN4GG4RUXWHWB3SP2Z6J3TO \
  | 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: 17b4d6f0c6e4697b1ec1dc9facf93b9b98ce659c5d508ae6e0a7aa7fe6fa396d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25c2ebf760d752ec24492a50dc857e14f74508f761dfb446f838d850de19850c",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2009-06-03T11:45:43Z",
    "title_canon_sha256": "dcd49ae8b571c7109920b69e2b43337133cf3741115e23608e257766c0d2e3cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0690",
    "kind": "arxiv",
    "version": 1
  }
}