Pith Number

pith:VNCBKNYO

pith:2012:VNCBKNYO2IJ24AJMITB4X5YOKO

not attested not anchored not stored refs pending

The Gaussian entropy of fermionic systems

Jan Weenink, Michael G. Schmidt, Tomislav Prokopec

arxiv:1204.4124 v2 · 2012-04-18 · hep-th · hep-ph · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VNCBKNYO2IJ24AJMITB4X5YOKO}

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	2026-05-18T03:41:32.181396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab4415370ed213ae012c44c3cbf70e538b1ead49956ed7c5f3a3438733a7e9cb

Aliases

arxiv: 1204.4124 · arxiv_version: 1204.4124v2 · doi: 10.48550/arxiv.1204.4124 · pith_short_12: VNCBKNYO2IJ2 · pith_short_16: VNCBKNYO2IJ24AJM · pith_short_8: VNCBKNYO

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/VNCBKNYO2IJ24AJMITB4X5YOKO \
  | 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: ab4415370ed213ae012c44c3cbf70e538b1ead49956ed7c5f3a3438733a7e9cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87bb5f58e466b8b6580130a188fe0b571f193847bd2784c1c2869acb350d439a",
    "cross_cats_sorted": [
      "hep-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-04-18T16:21:12Z",
    "title_canon_sha256": "546d2ad6982b8cbcee5c6c6be559847743b510820b3ad0c1d09ed46aca680a5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4124",
    "kind": "arxiv",
    "version": 2
  }
}