Pith Number

pith:IRS6I7WW

pith:2001:IRS6I7WWQA6BUQXKUF7X3FMWRB

not attested not anchored not stored refs pending

Gaussian maximum of entropy and reversed log-Sobolev inequality

Djalil Chafai

arxiv:math/0102227 v1 · 2001-02-28 · 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{IRS6I7WWQA6BUQXKUF7X3FMWRB}

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	2026-05-18T03:09:23.400171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4465e47ed6803c1a42eaa17f7d959688455fed14dada534a7a5d9e46ed0a6cfb

Aliases

arxiv: math/0102227 · arxiv_version: math/0102227v1 · doi: 10.48550/arxiv.math/0102227 · pith_short_12: IRS6I7WWQA6B · pith_short_16: IRS6I7WWQA6BUQXK · pith_short_8: IRS6I7WW

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/IRS6I7WWQA6BUQXKUF7X3FMWRB \
  | 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: 4465e47ed6803c1a42eaa17f7d959688455fed14dada534a7a5d9e46ed0a6cfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4488f79f653db7442c2dac91ecd8ce75c518c780d29439926966dbe139f76401",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2001-02-28T23:19:32Z",
    "title_canon_sha256": "b21dc79bdbb8c7ffa65de25ac86ed0124b2405a1b1a9fc83ddfd0138d2145546"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0102227",
    "kind": "arxiv",
    "version": 1
  }
}