Pith Number

pith:X3DVNBTR

pith:2011:X3DVNBTRKWEJHKUC2OQ3KVQMVS

not attested not anchored not stored refs pending

Entropy of the Mixture of Sources and Entropy Dimension

Jacek Tabor, Marek Smieja

arxiv:1110.6027 v2 · 2011-10-27 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3DVNBTRKWEJHKUC2OQ3KVQMVS}

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	2026-05-18T04:10:08.308418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bec7568671558893aa82d3a1b5560cacb2b9497e645b1ae5786c76136fb9acee

Aliases

arxiv: 1110.6027 · arxiv_version: 1110.6027v2 · doi: 10.48550/arxiv.1110.6027 · pith_short_12: X3DVNBTRKWEJ · pith_short_16: X3DVNBTRKWEJHKUC · pith_short_8: X3DVNBTR

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/X3DVNBTRKWEJHKUC2OQ3KVQMVS \
  | 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: bec7568671558893aa82d3a1b5560cacb2b9497e645b1ae5786c76136fb9acee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e4e33d39e1a4d4c3630fc3dbc9109799ee432c1bab270c9eaf3e3c8977a3cdc",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-10-27T09:37:03Z",
    "title_canon_sha256": "c6083a2aa755ccd94938b5df11d00457dfc61c85dc1423630d9fc1d6025d71d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6027",
    "kind": "arxiv",
    "version": 2
  }
}