Pith Number

pith:FHKGL7CZ

pith:2011:FHKGL7CZHEHLQPI4CSABUF4WOR

not attested not anchored not stored refs pending

The H\"older Inequality for KMS States

Christian D. J\"akel, Florian Robl

arxiv:1103.3608 v2 · 2011-03-18 · math-ph · math.MP · 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{FHKGL7CZHEHLQPI4CSABUF4WOR}

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	2026-05-18T02:02:49.900261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29d465fc59390eb83d1c14801a179674697b99cd8abdd44e678aebda92221064

Aliases

arxiv: 1103.3608 · arxiv_version: 1103.3608v2 · doi: 10.48550/arxiv.1103.3608 · pith_short_12: FHKGL7CZHEHL · pith_short_16: FHKGL7CZHEHLQPI4 · pith_short_8: FHKGL7CZ

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/FHKGL7CZHEHLQPI4CSABUF4WOR \
  | 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: 29d465fc59390eb83d1c14801a179674697b99cd8abdd44e678aebda92221064

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e097d1c75d8422f54af83510e4e134938fb56edc1e7a717b12c77bd10bf5f14",
    "cross_cats_sorted": [
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-03-18T12:00:23Z",
    "title_canon_sha256": "c922cdd08578c78c22a29ddd137f7e66a44677d80ca5f7f29dc6d8c7bf27076d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3608",
    "kind": "arxiv",
    "version": 2
  }
}