Pith Number

pith:HOPOEXM5

pith:2013:HOPOEXM5JFCEDPALRAPNCF5CAL

not attested not anchored not stored refs pending

From Fractional Exclusion Statistics Back to Bose and Fermi Distributions

Dragos-Victor Anghel

arxiv:1306.6418 v1 · 2013-06-27 · 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{HOPOEXM5JFCEDPALRAPNCF5CAL}

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	2026-05-18T03:10:57.873405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b9ee25d9d494441bc0b881ed117a202c0a1d0766de0aa36d62f831012e27d79

Aliases

arxiv: 1306.6418 · arxiv_version: 1306.6418v1 · doi: 10.48550/arxiv.1306.6418 · pith_short_12: HOPOEXM5JFCE · pith_short_16: HOPOEXM5JFCEDPAL · pith_short_8: HOPOEXM5

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/HOPOEXM5JFCEDPALRAPNCF5CAL \
  | 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: 3b9ee25d9d494441bc0b881ed117a202c0a1d0766de0aa36d62f831012e27d79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65b96c967c3b667bb5fb78c5b02e29226a2ff09365cdd3cb398de343f8859479",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-06-27T07:03:37Z",
    "title_canon_sha256": "78013053593bb0ee67f5775eb88ee654e0461e387becb628c61b863991432350"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6418",
    "kind": "arxiv",
    "version": 1
  }
}