Pith Number

pith:MUMWBPEQ

pith:2009:MUMWBPEQ4XD3GSE5NHG3RE6CDI

not attested not anchored not stored refs pending

Majorization properties of generalized thermal distributions

M. Portesi, N. Canosa, R. Rossignoli

arxiv:0906.1216 v2 · 2009-06-05 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MUMWBPEQ4XD3GSE5NHG3RE6CDI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:13:28.596995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

651960bc90e5c7b3489d69cdb893c21a0248f85bccfcc36d39f08081cb63daf3

Aliases

arxiv: 0906.1216 · arxiv_version: 0906.1216v2 · doi: 10.48550/arxiv.0906.1216 · pith_short_12: MUMWBPEQ4XD3 · pith_short_16: MUMWBPEQ4XD3GSE5 · pith_short_8: MUMWBPEQ

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/MUMWBPEQ4XD3GSE5NHG3RE6CDI \
  | 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: 651960bc90e5c7b3489d69cdb893c21a0248f85bccfcc36d39f08081cb63daf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b25d4a22159d73ec71ce811df7fc0d6058b16ae42c5183977804e01465603a60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-06-05T21:34:35Z",
    "title_canon_sha256": "82c5d13d12850ab400a8eb368e3d735c2391a9a2cf30200e9141fe0dbfca56d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1216",
    "kind": "arxiv",
    "version": 2
  }
}