Pith Number

pith:GEEK7OBI

pith:2020:GEEK7OBILTZ3CPJWETAVL5WVM3

not attested not anchored not stored refs pending

Complete Logarithmic Sobolev Inequalities via Ricci Curvature Bounded Below II

Li Gao, Marius Junge, Michael Brannan

arxiv:2008.12038 v1 · 2020-08-27 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GEEK7OBILTZ3CPJWETAVL5WVM3}

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

Intertwining Properties for Bimodule Quantum Markov Semigroups

Receipt and verification

First computed	2026-07-05T01:30:56.221006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3108afb8285cf3b13d3624c155f6d566e3678046f9994d45827e0e4e00fdb3a9

Aliases

arxiv: 2008.12038 · arxiv_version: 2008.12038v1 · doi: 10.48550/arxiv.2008.12038 · pith_short_12: GEEK7OBILTZ3 · pith_short_16: GEEK7OBILTZ3CPJW · pith_short_8: GEEK7OBI

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/GEEK7OBILTZ3CPJWETAVL5WVM3 \
  | 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: 3108afb8285cf3b13d3624c155f6d566e3678046f9994d45827e0e4e00fdb3a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7b96c7aa9af56a7aa788e71ac8782b5a45e4f34670e1d094be2ee1571bfcbaf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2020-08-27T10:33:13Z",
    "title_canon_sha256": "c338e170c8f03c91227934ac2ffcceb2a6a3b8e38167c390fecca9cd18848c5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.12038",
    "kind": "arxiv",
    "version": 1
  }
}