Pith Number

pith:3NV6QAGG

pith:2018:3NV6QAGGYKLZWQ7OG4RC6LBL6L

not attested not anchored not stored refs pending

Tight Bounds on the R\'enyi Entropy via Majorization with Applications to Guessing and Compression

Igal Sason

arxiv:1812.03324 v1 · 2018-12-08 · 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{3NV6QAGGYKLZWQ7OG4RC6LBL6L}

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	2026-05-17T23:58:46.517426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db6be800c6c2979b43ee37222f2c2bf2f46d6fb6b1a3a450f3681a0bd90f4bd8

Aliases

arxiv: 1812.03324 · arxiv_version: 1812.03324v1 · doi: 10.48550/arxiv.1812.03324 · pith_short_12: 3NV6QAGGYKLZ · pith_short_16: 3NV6QAGGYKLZWQ7O · pith_short_8: 3NV6QAGG

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/3NV6QAGGYKLZWQ7OG4RC6LBL6L \
  | 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: db6be800c6c2979b43ee37222f2c2bf2f46d6fb6b1a3a450f3681a0bd90f4bd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd768c44f4c83ee63a070c4bdd2659f24a1d125a877911f8db2f4b1f97ac21b1",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-12-08T14:19:02Z",
    "title_canon_sha256": "03bfbc562081010420a2fed251fb7c2aed233e92d83825b1eeb88f3e52d7d6f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03324",
    "kind": "arxiv",
    "version": 1
  }
}