Pith Number

pith:IQHWF5ZV

pith:2015:IQHWF5ZVOQQVLIFUNX2U3E5LGH

not attested not anchored not stored refs pending

Strong hypercontractivity and logarithmic Sobolev inequalities on stratified complex Lie groups

Laurent Saloff-Coste, Leonard Gross, Nathaniel Eldredge

arxiv:1510.05151 v5 · 2015-10-17 · math.AP · math.FA · 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{IQHWF5ZVOQQVLIFUNX2U3E5LGH}

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	2026-05-17T23:59:39.852114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

440f62f735742155a0b46df54d93ab31e0b0bbffdc86f1aa35e6fa8b260c7a00

Aliases

arxiv: 1510.05151 · arxiv_version: 1510.05151v5 · doi: 10.48550/arxiv.1510.05151 · pith_short_12: IQHWF5ZVOQQV · pith_short_16: IQHWF5ZVOQQVLIFU · pith_short_8: IQHWF5ZV

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/IQHWF5ZVOQQVLIFUNX2U3E5LGH \
  | 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: 440f62f735742155a0b46df54d93ab31e0b0bbffdc86f1aa35e6fa8b260c7a00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3859e8d10826506afcab3ecedaf0660b596031af3764df1a2f34309987fe3266",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-17T18:15:17Z",
    "title_canon_sha256": "1e226463bb6264e6e0660c3725f0a07594ad20d7ad2a59c2991fd8245d6f5c95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05151",
    "kind": "arxiv",
    "version": 5
  }
}