Pith Number

pith:OFTUDCZI

pith:2012:OFTUDCZI3TQJNMJOSME6H7JV7Y

not attested not anchored not stored refs pending

The Entropy Power Inequality and Mrs. Gerber's Lemma for Abelian Groups of Order 2^n

Varun Jog, Venkat Anantharam

arxiv:1207.6355 v1 · 2012-07-26 · cs.IT · math.CO · math.GR · 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{OFTUDCZI3TQJNMJOSME6H7JV7Y}

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	2026-05-18T03:49:57.639849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7167418b28dce096b12e9309e3fd35fe3fa036a726d05539239f5d02427dcb50

Aliases

arxiv: 1207.6355 · arxiv_version: 1207.6355v1 · doi: 10.48550/arxiv.1207.6355 · pith_short_12: OFTUDCZI3TQJ · pith_short_16: OFTUDCZI3TQJNMJO · pith_short_8: OFTUDCZI

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/OFTUDCZI3TQJNMJOSME6H7JV7Y \
  | 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: 7167418b28dce096b12e9309e3fd35fe3fa036a726d05539239f5d02427dcb50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1edb375275b72bed046a0a0c570c12247373991800731d83fbfff7e1a279d7d4",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR",
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-07-26T18:17:09Z",
    "title_canon_sha256": "5cc1f96171f3446c4b7fb2ae00d6d950102bce89d96c43dda54f81358877208d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6355",
    "kind": "arxiv",
    "version": 1
  }
}