Pith Number

pith:DFW4TKBB

pith:2018:DFW4TKBBYKTK6DBVKAOLIGXJJU

not attested not anchored not stored refs pending

On the Poincar{\'e} constant of log-concave measures

Arnaud Guillin (LMBP), Patrick Cattiaux (IMT)

arxiv:1810.08369 v1 · 2018-10-19 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DFW4TKBBYKTK6DBVKAOLIGXJJU}

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	2026-05-18T00:02:48.308733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

196dc9a821c2a6af0c35501cb41ae94d3091e3ef1e850baf68a09ad540a87d05

Aliases

arxiv: 1810.08369 · arxiv_version: 1810.08369v1 · doi: 10.48550/arxiv.1810.08369 · pith_short_12: DFW4TKBBYKTK · pith_short_16: DFW4TKBBYKTK6DBV · pith_short_8: DFW4TKBB

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/DFW4TKBBYKTK6DBVKAOLIGXJJU \
  | 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: 196dc9a821c2a6af0c35501cb41ae94d3091e3ef1e850baf68a09ad540a87d05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86b4c40fcd8bbf69bcdafa19fd887c3f9a2f0b12717c1c8972507c8098cd8807",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-10-19T06:57:48Z",
    "title_canon_sha256": "64cecf60cdfc330e43117f4fade8a02456691656b44acfccb7a1da9a5141c40a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08369",
    "kind": "arxiv",
    "version": 1
  }
}