Pith Number

pith:TKKR7VYA

pith:2011:TKKR7VYA377EHYQ7GVYJ7KEJQR

not attested not anchored not stored refs pending

Isoperimetry and Stability of Hyperplanes for Product Probability Measures

Andrea Colesanti, Chiara Bianchini (IECN), Franck Barthe (IMT)

arxiv:1102.3621 v1 · 2011-02-17 · 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{TKKR7VYA377EHYQ7GVYJ7KEJQR}

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	2026-05-18T04:28:28.746646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a951fd700dffe43e21f35709fa889844132e33e72abe069c0f9de1fdfac00ae

Aliases

arxiv: 1102.3621 · arxiv_version: 1102.3621v1 · doi: 10.48550/arxiv.1102.3621 · pith_short_12: TKKR7VYA377E · pith_short_16: TKKR7VYA377EHYQ7 · pith_short_8: TKKR7VYA

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/TKKR7VYA377EHYQ7GVYJ7KEJQR \
  | 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: 9a951fd700dffe43e21f35709fa889844132e33e72abe069c0f9de1fdfac00ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c429014d4f965620976bcb8754497f1bed4ba1bd40e1d319d27c586d4882228e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-02-17T16:16:36Z",
    "title_canon_sha256": "89a83055ffd99ff49e5af5ca316c13af490980927a2932817e0bc04925a9c1e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3621",
    "kind": "arxiv",
    "version": 1
  }
}