Pith Number

pith:IYIRYLG6

pith:2006:IYIRYLG6VE4R4ETK4LEEAMRUYB

not attested not anchored not stored refs pending

On the statistics of quantum expectations for systems in thermal equilibrium

Carlo Presilla, Giovanni Jona-Lasinio

arxiv:quant-ph/0603245 v1 · 2006-03-27 · quant-ph · cond-mat.stat-mech · hep-th · math-ph · math.MP · physics.chem-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{IYIRYLG6VE4R4ETK4LEEAMRUYB}

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	2026-05-18T04:33:37.179576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46111c2cdea9391e126ae2c8403234c065bf436f644e8c0fba98a9be56f7986b

Aliases

arxiv: quant-ph/0603245 · arxiv_version: quant-ph/0603245v1 · doi: 10.48550/arxiv.quant-ph/0603245 · pith_short_12: IYIRYLG6VE4R · pith_short_16: IYIRYLG6VE4R4ETK · pith_short_8: IYIRYLG6

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/IYIRYLG6VE4R4ETK4LEEAMRUYB \
  | 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: 46111c2cdea9391e126ae2c8403234c065bf436f644e8c0fba98a9be56f7986b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2203a53369377a24a5942300c05e392845e70758aaa8967c53ddabc017a043e",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math-ph",
      "math.MP",
      "physics.chem-ph"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-03-27T18:19:40Z",
    "title_canon_sha256": "3bb8a80843f3e50950a4522d824a7a7b248155174a8bb12bcb4e0d0c547e5e21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0603245",
    "kind": "arxiv",
    "version": 1
  }
}