Pith Number

pith:UZDGNEFE

pith:2012:UZDGNEFEEJQHMFF6US7R6FKRF6

not attested not anchored not stored refs pending

Mutual information and Bose-Einstein condensation

A. I. Karanikas, C. N. Gagatsos, G. I. Kordas

arxiv:1207.0303 v2 · 2012-07-02 · quant-ph · 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{UZDGNEFEEJQHMFF6US7R6FKRF6}

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	2026-05-18T02:52:14.520013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6466690a422607614bea4bf1f15512f9b561697af84e94be890e3834a72b416

Aliases

arxiv: 1207.0303 · arxiv_version: 1207.0303v2 · doi: 10.48550/arxiv.1207.0303 · pith_short_12: UZDGNEFEEJQH · pith_short_16: UZDGNEFEEJQHMFF6 · pith_short_8: UZDGNEFE

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/UZDGNEFEEJQHMFF6US7R6FKRF6 \
  | 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: a6466690a422607614bea4bf1f15512f9b561697af84e94be890e3834a72b416

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e7bcba080d056fb23f1c4f6126124993e0c363b6c1801bc63c2e5471411d51a",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-07-02T08:01:11Z",
    "title_canon_sha256": "5b73b1935b897a8c62a38a971b1d3a2e0686a5d0290582ab0d4822dff6692685"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0303",
    "kind": "arxiv",
    "version": 2
  }
}