Pith Number

pith:Q7LO3Z4S

pith:2011:Q7LO3Z4SD2UIQ3YZ2ZZLXAI2XL

not attested not anchored not stored refs pending

Lower bounds on Information Divergence

Christophe Vignat, Peter Harremo\"es

arxiv:1102.2536 v1 · 2011-02-12 · 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{Q7LO3Z4SD2UIQ3YZ2ZZLXAI2XL}

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	2026-05-18T04:28:47.143837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87d6ede7921ea8886f19d672bb811abaebffc82e24db72531fefa520d9d4c766

Aliases

arxiv: 1102.2536 · arxiv_version: 1102.2536v1 · doi: 10.48550/arxiv.1102.2536 · pith_short_12: Q7LO3Z4SD2UI · pith_short_16: Q7LO3Z4SD2UIQ3YZ · pith_short_8: Q7LO3Z4S

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/Q7LO3Z4SD2UIQ3YZ2ZZLXAI2XL \
  | 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: 87d6ede7921ea8886f19d672bb811abaebffc82e24db72531fefa520d9d4c766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00720a45222c1c4a8351b5f0048af95a325ca9c19854f28da1b422a627e6a80a",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-02-12T20:26:47Z",
    "title_canon_sha256": "3a5cb1ddc0262e8fbfe5738aaed6a14cd1c8c7afb2504fce05798013c4b5b9dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2536",
    "kind": "arxiv",
    "version": 1
  }
}