pith. sign in
Pith Number

pith:Y2GZWS5L

pith:2018:Y2GZWS5LVYYSCXUZWE5C3AIRJZ
not attested not anchored not stored refs pending

Occupation numbers in a quantum canonical ensemble: a projection operator approach

Fons Brosens, Wim Magnus

arxiv:1809.04472 v1 · 2018-09-12 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Y2GZWS5LVYYSCXUZWE5C3AIRJZ}

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 2026-05-17T23:57:39.994230Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c68d9b4babae31215e99b13a2d81114e5ecc80a1c981e2570c0695d54d77f891

Aliases

arxiv: 1809.04472 · arxiv_version: 1809.04472v1 · doi: 10.48550/arxiv.1809.04472 · pith_short_12: Y2GZWS5LVYYS · pith_short_16: Y2GZWS5LVYYSCXUZ · pith_short_8: Y2GZWS5L
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Y2GZWS5LVYYSCXUZWE5C3AIRJZ \
  | 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: c68d9b4babae31215e99b13a2d81114e5ecc80a1c981e2570c0695d54d77f891
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "535f9fdaf93964f49113846a8e032f18c56afdae5463d1f8aeebd9a750064bde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2018-09-12T14:10:36Z",
    "title_canon_sha256": "c3f5e1e14c6b9f6071c77a46292ddaf3b85467d127ea0ab166d2ae622d0ade25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04472",
    "kind": "arxiv",
    "version": 1
  }
}