Pith Number

pith:ETGQUKBO

pith:2015:ETGQUKBOLPQYBVQWLBMT4EEQBF

not attested not anchored not stored refs pending

On the Renyi Divergence, Joint Range of Relative Entropies, and a Channel Coding Theorem

Igal Sason

arxiv:1501.03616 v4 · 2015-01-15 · 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{ETGQUKBOLPQYBVQWLBMT4EEQBF}

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	2026-05-18T01:29:21.421323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24cd0a282e5be180d61658593e1090097900aafdf38a3420a125e5b275e15bf2

Aliases

arxiv: 1501.03616 · arxiv_version: 1501.03616v4 · doi: 10.48550/arxiv.1501.03616 · pith_short_12: ETGQUKBOLPQY · pith_short_16: ETGQUKBOLPQYBVQW · pith_short_8: ETGQUKBO

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/ETGQUKBOLPQYBVQWLBMT4EEQBF \
  | 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: 24cd0a282e5be180d61658593e1090097900aafdf38a3420a125e5b275e15bf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dc0554c8566a7608cb2ae428a88e07a7f9db796afd3fbf18f68b8634284dd84",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-01-15T10:03:57Z",
    "title_canon_sha256": "6062d2beee39e2ca8c3c3483a152da3a3402848ed6c8471e4849c945faa8ea7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03616",
    "kind": "arxiv",
    "version": 4
  }
}