Pith Number

pith:WO7RHEDC

pith:2007:WO7RHEDCRAFY4V7LQXGKYLNJSF

not attested not anchored not stored refs pending

An inequality for correlated measurable functions

Fabio Zucca

arxiv:0711.4127 v2 · 2007-11-27 · math.CA · 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{WO7RHEDCRAFY4V7LQXGKYLNJSF}

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	2026-05-18T04:31:12.405676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3bf139062880b8e57eb85ccac2da991592b2a2963cb4a06e548d667efd56ae5

Aliases

arxiv: 0711.4127 · arxiv_version: 0711.4127v2 · doi: 10.48550/arxiv.0711.4127 · pith_short_12: WO7RHEDCRAFY · pith_short_16: WO7RHEDCRAFY4V7L · pith_short_8: WO7RHEDC

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/WO7RHEDCRAFY4V7LQXGKYLNJSF \
  | 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: b3bf139062880b8e57eb85ccac2da991592b2a2963cb4a06e548d667efd56ae5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0b7cd029ec95525405330ffd5dd3d05b4a377bb25bab3523c4b42bf9ac83f7c",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2007-11-27T17:09:20Z",
    "title_canon_sha256": "24a9b3a989b0bac90454cc6f7af54e001702974cc004c91957a9343c495b32b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.4127",
    "kind": "arxiv",
    "version": 2
  }
}