Pith Number

pith:PAPQC734

pith:2018:PAPQC7344XLZZUSJZMNNML63T2

not attested not anchored not stored refs pending

Quantum Statistical Mechanics in Classical Phase Space. Expressions for the Multi-Particle Density, the Average Energy, and the Virial Pressure

Phil Attard

arxiv:1811.00730 v1 · 2018-11-02 · quant-ph · cond-mat.quant-gas · cond-mat.stat-mech · 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{PAPQC7344XLZZUSJZMNNML63T2}

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	2026-05-18T00:01:42.340361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

781f017f7ce5d79cd249cb1ad62fdb9e88e2075ce14911d3e5c4a812a6fa8864

Aliases

arxiv: 1811.00730 · arxiv_version: 1811.00730v1 · doi: 10.48550/arxiv.1811.00730 · pith_short_12: PAPQC7344XLZ · pith_short_16: PAPQC7344XLZZUSJ · pith_short_8: PAPQC734

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/PAPQC7344XLZZUSJZMNNML63T2 \
  | 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: 781f017f7ce5d79cd249cb1ad62fdb9e88e2075ce14911d3e5c4a812a6fa8864

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b837caae3e4c85776578c7fcb750635e40518be22c1ae29feca26fa4c7d1fc1e",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "cond-mat.stat-mech",
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-11-02T04:10:08Z",
    "title_canon_sha256": "334d1b14eaa15268cdcfa0bc83e44d6afc8cdf59a7d443dd4f08b6b8cdd0bd8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.00730",
    "kind": "arxiv",
    "version": 1
  }
}