Pith Number

pith:JWHWKQOQ

pith:2022:JWHWKQOQ3SIQGTTUJMHLYQRFAY

not attested not anchored not stored refs pending

Relative entropy of an interval for a massless boson at finite temperature

Alan Garbarz, Gabriel Palau

arxiv:2209.00035 v1 · 2022-08-31 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWHWKQOQ3SIQGTTUJMHLYQRFAY}

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

A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory

Receipt and verification

First computed	2026-07-05T06:25:12.511504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d8f6541d0dc91034e744b0ebc4225061f73b25eb0d4b3c5a4dc3e9758b6e813

Aliases

arxiv: 2209.00035 · arxiv_version: 2209.00035v1 · doi: 10.48550/arxiv.2209.00035 · pith_short_12: JWHWKQOQ3SIQ · pith_short_16: JWHWKQOQ3SIQGTTU · pith_short_8: JWHWKQOQ

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/JWHWKQOQ3SIQGTTUJMHLYQRFAY \
  | 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: 4d8f6541d0dc91034e744b0ebc4225061f73b25eb0d4b3c5a4dc3e9758b6e813

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b35f8f0b059b801a79a1c9bbc1ee27c231ca69010e119de557e78569a69425f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-08-31T18:00:57Z",
    "title_canon_sha256": "51bde2720db37d9b0d3ad1286229dfcfe14a70f0a9ba5440634a2ec6a72f4927"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.00035",
    "kind": "arxiv",
    "version": 1
  }
}