Pith Number

pith:HVH2ZEBV

pith:2006:HVH2ZEBVKLZ3TNCXKR7IE6VW6S

not attested not anchored not stored refs pending

The Hatsopoulos-Gyftopoulos resolution of the Schroedinger-Park paradox about the concept of "state" in quantum statistical mechanics

Gian Paolo Beretta

arxiv:quant-ph/0610057 v2 · 2006-10-09 · quant-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{HVH2ZEBVKLZ3TNCXKR7IE6VW6S}

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	2026-05-18T01:37:54.097231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d4fac903552f3b9b457547e827ab6f4b0c5c9128e2602d7bf784b862cd13581

Aliases

arxiv: quant-ph/0610057 · arxiv_version: quant-ph/0610057v2 · doi: 10.48550/arxiv.quant-ph/0610057 · pith_short_12: HVH2ZEBVKLZ3 · pith_short_16: HVH2ZEBVKLZ3TNCX · pith_short_8: HVH2ZEBV

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/HVH2ZEBVKLZ3TNCXKR7IE6VW6S \
  | 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: 3d4fac903552f3b9b457547e827ab6f4b0c5c9128e2602d7bf784b862cd13581

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5c848148e7910417a95ec93e83f5cb52aa180b897101a0e15f63ab34dda1cd9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-10-09T11:36:16Z",
    "title_canon_sha256": "2cc6ded93c632303ac9fbc0c6cc72f566f745ec4c9bdef26e9f3950cb01427d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0610057",
    "kind": "arxiv",
    "version": 2
  }
}