Pith Number

pith:OOOMWGSF

pith:2014:OOOMWGSFPJX7VRNDJNIO2P6KXC

not attested not anchored not stored refs pending

Spectral gap for spherically symmetric log-concave probability measures, and beyond

Ald\'eric Joulin (IMT), Michel Bonnefont (IMB), Yutao ma

arxiv:1406.4621 v1 · 2014-06-18 · 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{OOOMWGSFPJX7VRNDJNIO2P6KXC}

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	2026-05-18T02:49:31.131305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

739ccb1a457a6ffac5a34b50ed3fcab8be983bfe5ba98b78244054a727bfb7bc

Aliases

arxiv: 1406.4621 · arxiv_version: 1406.4621v1 · doi: 10.48550/arxiv.1406.4621 · pith_short_12: OOOMWGSFPJX7 · pith_short_16: OOOMWGSFPJX7VRND · pith_short_8: OOOMWGSF

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/OOOMWGSFPJX7VRNDJNIO2P6KXC \
  | 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: 739ccb1a457a6ffac5a34b50ed3fcab8be983bfe5ba98b78244054a727bfb7bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db22c07ec080bfc635176608a263f173b13208ebb02b979fc033015a5597f4d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-06-18T07:07:12Z",
    "title_canon_sha256": "9e13f60d5bae99117ec07a45b958d0d3287078e3167d134a1d6ab842cf262829"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4621",
    "kind": "arxiv",
    "version": 1
  }
}