Pith Number

pith:45QW7GZV

pith:2011:45QW7GZVKD5YVPZYNZNAOV4JRF

not attested not anchored not stored refs pending

Analysis of generalized probability distributions associated with higher Landau levels

Nizar Demni, Zouhair Mouayn

arxiv:1110.1110 v4 · 2011-10-05 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45QW7GZVKD5YVPZYNZNAOV4JRF}

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	2026-05-18T02:26:59.222228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7616f9b3550fb8abf386e5a075789895bebdeff71f7f9f6368304ee528d09c5

Aliases

arxiv: 1110.1110 · arxiv_version: 1110.1110v4 · doi: 10.48550/arxiv.1110.1110 · pith_short_12: 45QW7GZVKD5Y · pith_short_16: 45QW7GZVKD5YVPZY · pith_short_8: 45QW7GZV

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/45QW7GZVKD5YVPZYNZNAOV4JRF \
  | 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: e7616f9b3550fb8abf386e5a075789895bebdeff71f7f9f6368304ee528d09c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce35973573c1aa2087396fea879b5ae7e05ad34d4dc9155b1b607c97fa7c611a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-05T21:42:26Z",
    "title_canon_sha256": "745597ee20c5e3053a0405d104ae6155950830b001ab30c042419267130e5391"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1110",
    "kind": "arxiv",
    "version": 4
  }
}