Pith Number

pith:XL5IBXLJ

pith:2011:XL5IBXLJMJZXPJIAYCTQAOCFUX

not attested not anchored not stored refs pending

Logarithmic Sobolev Trace Inequalities

F. Feo, M.R. Posteraro

arxiv:1101.3667 v1 · 2011-01-19 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XL5IBXLJMJZXPJIAYCTQAOCFUX}

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	2026-05-18T04:31:21.799384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bafa80dd69627377a500c0a7003845a5f258fdbc6dd0979dac409160b70eae79

Aliases

arxiv: 1101.3667 · arxiv_version: 1101.3667v1 · doi: 10.48550/arxiv.1101.3667 · pith_short_12: XL5IBXLJMJZX · pith_short_16: XL5IBXLJMJZXPJIA · pith_short_8: XL5IBXLJ

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/XL5IBXLJMJZXPJIAYCTQAOCFUX \
  | 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: bafa80dd69627377a500c0a7003845a5f258fdbc6dd0979dac409160b70eae79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09d37e3164777f5ee76f3810f02b87d9a23d468a83e7b6352b2e3749419461af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-01-19T11:31:07Z",
    "title_canon_sha256": "67d08100e08d7a402e24d08657be5d749114e5fd17837aec033b6a4d84502613"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3667",
    "kind": "arxiv",
    "version": 1
  }
}