Pith Number

pith:2KBKVDVE

pith:2008:2KBKVDVENXJACSSD3O32Q67PB5

not attested not anchored not stored refs pending

A modified logarithmic Sobolev inequality for the Hamming cube and some applications

Alex Samorodnitsky

arxiv:0807.1679 v1 · 2008-07-10 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2KBKVDVENXJACSSD3O32Q67PB5}

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.

Cited by

1 paper in Pith

Eigenvalues and eigenfunctions of a Hamming ball

Receipt and verification

First computed	2026-07-04T15:12:48.730266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d282aa8ea46dd2014a43dbb7a87bef0f4667985f83412e22d20c5626b691d5ad

Aliases

arxiv: 0807.1679 · arxiv_version: 0807.1679v1 · doi: 10.48550/arxiv.0807.1679 · pith_short_12: 2KBKVDVENXJA · pith_short_16: 2KBKVDVENXJACSSD · pith_short_8: 2KBKVDVE

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/2KBKVDVENXJACSSD3O32Q67PB5 \
  | 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: d282aa8ea46dd2014a43dbb7a87bef0f4667985f83412e22d20c5626b691d5ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83365a05bff707306e7c3aa2f2ab33307203a8ad1d7485f0b4b3c7115f0408d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-07-10T15:23:15Z",
    "title_canon_sha256": "3ea5a7042d486536ae84864a551fbaa9ce79adad0924ae566f82e4bae4081164"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.1679",
    "kind": "arxiv",
    "version": 1
  }
}