Pith Number

pith:4WVZY3RN

pith:2015:4WVZY3RN2JHUKC56V3LBWX6CRO

not attested not anchored not stored refs pending

Riemannian metrics on convex sets with applications to Poincar\'e and log-Sobolev inequalities

Alexander V. Kolesnikov, Emanuel Milman

arxiv:1510.02971 v2 · 2015-10-10 · math.FA · math.DG · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WVZY3RN2JHUKC56V3LBWX6CRO}

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	2026-05-18T01:11:41.298873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5ab9c6e2dd24f450bbeaed61b5fc28b9df1d0986e24af47241805ba65cabf4c

Aliases

arxiv: 1510.02971 · arxiv_version: 1510.02971v2 · doi: 10.48550/arxiv.1510.02971 · pith_short_12: 4WVZY3RN2JHU · pith_short_16: 4WVZY3RN2JHUKC56 · pith_short_8: 4WVZY3RN

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/4WVZY3RN2JHUKC56V3LBWX6CRO \
  | 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: e5ab9c6e2dd24f450bbeaed61b5fc28b9df1d0986e24af47241805ba65cabf4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49c6b86db5856d6c7f2b29e0f9aee107fc7cf0a5736fbe5d168aa56f6ef929c4",
    "cross_cats_sorted": [
      "math.DG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-10-10T19:16:17Z",
    "title_canon_sha256": "6e129fdeaa2a1db046b4fbb4ff851de38af78a98f8902fb2883a0797c64e1de4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02971",
    "kind": "arxiv",
    "version": 2
  }
}