Pith Number

pith:JFLBNS4X

pith:2015:JFLBNS4XACNHYMJX7QSPBFXFPT

not attested not anchored not stored refs pending

Moment estimates implied by modified log-Sobolev inequalities

Pawe{\l} Wolff, Rados{\l}aw Adamczak, Witold Bednorz

arxiv:1509.07565 v1 · 2015-09-24 · 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{JFLBNS4XACNHYMJX7QSPBFXFPT}

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	2026-05-18T01:32:02.463294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

495616cb97009a7c3137fc24f096e57cef8053eb80a71527651901e7814eda38

Aliases

arxiv: 1509.07565 · arxiv_version: 1509.07565v1 · doi: 10.48550/arxiv.1509.07565 · pith_short_12: JFLBNS4XACNH · pith_short_16: JFLBNS4XACNHYMJX · pith_short_8: JFLBNS4X

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/JFLBNS4XACNHYMJX7QSPBFXFPT \
  | 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: 495616cb97009a7c3137fc24f096e57cef8053eb80a71527651901e7814eda38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb883b209a370645bb8dc2c39bcb5f8683f01d7c7e2e7a83ffea43048d91943c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-24T23:12:59Z",
    "title_canon_sha256": "075c1f3fa41a19eec0825a68fa8fc367ad67b3ddbfbaa32f7794ddad3598999b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07565",
    "kind": "arxiv",
    "version": 1
  }
}