Pith Number

pith:MJBBUH4G

pith:2011:MJBBUH4G3UKFWRMYLKXQGR2OLY

not attested not anchored not stored refs pending

Condensation of an ideal gas with intermediate statistics on the horizon

Behrouz Mirza, Hosein Mohammadzadeh, Somayeh Zare, Zahra Raissi

arxiv:1108.6149 v2 · 2011-08-31 · gr-qc · cond-mat.stat-mech · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MJBBUH4G3UKFWRMYLKXQGR2OLY}

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	2026-05-18T02:00:44.196707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62421a1f86dd145b45985aaf03474e5e3f5a97be5fdd022835be8517e04de59d

Aliases

arxiv: 1108.6149 · arxiv_version: 1108.6149v2 · doi: 10.48550/arxiv.1108.6149 · pith_short_12: MJBBUH4G3UKF · pith_short_16: MJBBUH4G3UKFWRMY · pith_short_8: MJBBUH4G

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/MJBBUH4G3UKFWRMYLKXQGR2OLY \
  | 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: 62421a1f86dd145b45985aaf03474e5e3f5a97be5fdd022835be8517e04de59d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15cf59767d55c1836c29777d8053e7ae94a3cce3a28b891ceab9f5a66e139d19",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-08-31T07:57:27Z",
    "title_canon_sha256": "4c005460b824f4b694800b610415068e81937dcc1e77b195124bc0af05810949"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6149",
    "kind": "arxiv",
    "version": 2
  }
}