Pith Number

pith:VXTQXRPI

pith:2003:VXTQXRPIYWH5DV65K7KAABYBK3

not attested not anchored not stored refs pending

On the Distribution of the Wave Function for Systems in Thermal Equilibrium

Joel L. Lebowitz, Nino Zanghi, Roderich Tumulka, Sheldon Goldstein

arxiv:quant-ph/0309021 v4 · 2003-09-01 · 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{VXTQXRPIYWH5DV65K7KAABYBK3}

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

Grand-Canonical Typicality

Receipt and verification

First computed	2026-07-04T14:58:08.366039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ade70bc5e8c58fd1d7dd57d400070156c5ed0b7fb7a6b71998025b1964a7253b

Aliases

arxiv: quant-ph/0309021 · arxiv_version: quant-ph/0309021v4 · doi: 10.48550/arxiv.quant-ph/0309021 · pith_short_12: VXTQXRPIYWH5 · pith_short_16: VXTQXRPIYWH5DV65 · pith_short_8: VXTQXRPI

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/VXTQXRPIYWH5DV65K7KAABYBK3 \
  | 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: ade70bc5e8c58fd1d7dd57d400070156c5ed0b7fb7a6b71998025b1964a7253b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a68fcbf52849ab590bf12d80876392366839c2e12f7a5a081b66d24ba649683",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-09-01T17:25:04Z",
    "title_canon_sha256": "2dd6f680c2472f2a4a4a3565d00db277f1ab41ecff1e546fc6f02be4b00a14ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0309021",
    "kind": "arxiv",
    "version": 4
  }
}