Pith Number

pith:J62XAPMS

pith:2017:J62XAPMSSKAE6ZEKDCC76Y4MVX

not attested not anchored not stored refs pending

Strong hypercontractivity and strong logarithmic Sobolev inequalities for log-subharmonic functions on stratified Lie groups

Nathaniel Eldredge

arxiv:1706.07517 v2 · 2017-06-22 · math.FA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J62XAPMSSKAE6ZEKDCC76Y4MVX}

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	2026-05-17T23:59:39.655561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fb5703d9292804f648a1885ff638cadca7862e9fe9498a162976fbde325ec57

Aliases

arxiv: 1706.07517 · arxiv_version: 1706.07517v2 · doi: 10.48550/arxiv.1706.07517 · pith_short_12: J62XAPMSSKAE · pith_short_16: J62XAPMSSKAE6ZEK · pith_short_8: J62XAPMS

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/J62XAPMSSKAE6ZEKDCC76Y4MVX \
  | 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: 4fb5703d9292804f648a1885ff638cadca7862e9fe9498a162976fbde325ec57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a175a77a9d84a160ef3fb78b900a4569203d2b5394b3398088a9eb59c9df8b8e",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-06-22T22:52:15Z",
    "title_canon_sha256": "90bd8132e06980743b4ae24ccb9ced41692d01c2a83044db34a44397a3f9afbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07517",
    "kind": "arxiv",
    "version": 2
  }
}