Pith Number

pith:PPB33L5M

pith:2015:PPB33L5MREWRCF2ORCIQXYF43T

not attested not anchored not stored refs pending

Hypercontractivity and the logarithmic Sobolev inequality for the completely bounded norm

Christopher King, Salman Beigi

arxiv:1509.02610 v3 · 2015-09-09 · math-ph · math.FA · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPB33L5MREWRCF2ORCIQXYF43T}

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	2026-05-18T01:27:39.199615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bc3bdafac892d11174e88910be0bcdccc5784a3b5cdeac7087e6a118d3d2a12

Aliases

arxiv: 1509.02610 · arxiv_version: 1509.02610v3 · doi: 10.48550/arxiv.1509.02610 · pith_short_12: PPB33L5MREWR · pith_short_16: PPB33L5MREWRCF2O · pith_short_8: PPB33L5M

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/PPB33L5MREWRCF2ORCIQXYF43T \
  | 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: 7bc3bdafac892d11174e88910be0bcdccc5784a3b5cdeac7087e6a118d3d2a12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7fbe6a5205c52be7dbb94e3e2387a0be538271d3c8ac53482b139915521ea41",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-09T02:20:15Z",
    "title_canon_sha256": "fc8785d93282b480f288858ef8bbac6b9fbbc8876925876fa5c7fe4d7dd85359"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02610",
    "kind": "arxiv",
    "version": 3
  }
}