Pith Number

pith:JQJAAQEO

pith:2011:JQJAAQEOGZXCDNFLVYTMHXZA2H

not attested not anchored not stored refs pending

Exact and approximate methods of calculating the sum of states for noninteracting classical and quantum particles occupying a finite number of modes

Agnieszka Werpachowska (UCL)

arxiv:1102.5624 v7 · 2011-02-28 · cond-mat.stat-mech

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQJAAQEOGZXCDNFLVYTMHXZA2H}

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	2026-05-18T03:37:41.911724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c1200408e366e21b4abae26c3df20d1e1c5b1f0916d0d12049d89fcb5fe5978

Aliases

arxiv: 1102.5624 · arxiv_version: 1102.5624v7 · doi: 10.48550/arxiv.1102.5624 · pith_short_12: JQJAAQEOGZXC · pith_short_16: JQJAAQEOGZXCDNFL · pith_short_8: JQJAAQEO

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/JQJAAQEOGZXCDNFLVYTMHXZA2H \
  | 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: 4c1200408e366e21b4abae26c3df20d1e1c5b1f0916d0d12049d89fcb5fe5978

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ad4e77417a39710ccf1221e1c94e856a761afcb6ca8085e92acbade5fcc3d80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-02-28T09:15:58Z",
    "title_canon_sha256": "9d7c4643f43f9f5e32f28356b7a67d0a9abe0a6124731872c06c31640e44fbc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5624",
    "kind": "arxiv",
    "version": 7
  }
}