Pith Number

pith:GUI3KKHX

pith:2009:GUI3KKHXBVLFISDSRTEL5RKSPV

not attested not anchored not stored refs pending

Properties of Isoperimetric, Functional and Transport-Entropy Inequalities Via Concentration

Emanuel Milman

arxiv:0909.0207 v3 · 2009-09-01 · math.FA · 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{GUI3KKHXBVLFISDSRTEL5RKSPV}

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	2026-05-18T04:36:40.429191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3511b528f70d565448728cc8bec5527d6ceaff7c96480146238b0933dadbef56

Aliases

arxiv: 0909.0207 · arxiv_version: 0909.0207v3 · doi: 10.48550/arxiv.0909.0207 · pith_short_12: GUI3KKHXBVLF · pith_short_16: GUI3KKHXBVLFISDS · pith_short_8: GUI3KKHX

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/GUI3KKHXBVLFISDSRTEL5RKSPV \
  | 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: 3511b528f70d565448728cc8bec5527d6ceaff7c96480146238b0933dadbef56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dbeaf19d7b3216dca31bf28c96d990fe19ca3a3695683ea9ed5c8b35c014c10",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-09-01T15:26:24Z",
    "title_canon_sha256": "f4bfbeacc08da330a29430e5d110453a1b3945aaa1e61a9c086c7c6eddc31b0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0207",
    "kind": "arxiv",
    "version": 3
  }
}