Pith Number

pith:XFI2GJYT

pith:2010:XFI2GJYTSSFK5L7RMAETYV4FWA

not attested not anchored not stored refs pending

Extension of the Blahut-Arimoto algorithm for maximizing directed information

Haim Permuter, Iddo Naiss

arxiv:1012.5071 v2 · 2010-12-22 · 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{XFI2GJYTSSFK5L7RMAETYV4FWA}

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	2026-05-18T04:32:33.668331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b951a32713948aaeaff160093c5785b00d4a00ab8f892241540a45b9de23768a

Aliases

arxiv: 1012.5071 · arxiv_version: 1012.5071v2 · doi: 10.48550/arxiv.1012.5071 · pith_short_12: XFI2GJYTSSFK · pith_short_16: XFI2GJYTSSFK5L7R · pith_short_8: XFI2GJYT

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/XFI2GJYTSSFK5L7RMAETYV4FWA \
  | 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: b951a32713948aaeaff160093c5785b00d4a00ab8f892241540a45b9de23768a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6e754c713b4e71e267e045f0ffcc27079e105fa23b1f593a82d59c55dd2c36a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-12-22T18:50:41Z",
    "title_canon_sha256": "d569490b17e0d1ed8f684184457ce8a6e76431d37d5ec525db21cd31e8eb1870"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5071",
    "kind": "arxiv",
    "version": 2
  }
}