Pith Number

pith:XDFXXX5W

pith:2005:XDFXXX5W4UAHBOFDJR7XNXI75J

not attested not anchored not stored refs pending

Violation of the entropic area law for Fermions

Michael M. Wolf

arxiv:quant-ph/0503219 v4 · 2005-03-29 · quant-ph · 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{XDFXXX5W4UAHBOFDJR7XNXI75J}

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.

Cited by

1 paper in Pith

Determination of thermodynamics from entanglement entropy in the finite-density O(N) model

Receipt and verification

First computed	2026-07-04T16:57:32.097067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8cb7bdfb6e50070b8a34c7f76dd1fea6b6750b9854c9640a41f6a1e9ada45ac

Aliases

arxiv: quant-ph/0503219 · arxiv_version: quant-ph/0503219v4 · doi: 10.48550/arxiv.quant-ph/0503219 · pith_short_12: XDFXXX5W4UAH · pith_short_16: XDFXXX5W4UAHBOFD · pith_short_8: XDFXXX5W

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/XDFXXX5W4UAHBOFDJR7XNXI75J \
  | 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: b8cb7bdfb6e50070b8a34c7f76dd1fea6b6750b9854c9640a41f6a1e9ada45ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3260caf73339d9157c64e15c3dabba18532f6abb5923a3a6e0621e82140adb7b",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-03-29T15:10:09Z",
    "title_canon_sha256": "f90a0241a547349e30bb349a554db75b8cb493f0704d2ea03642e03186a660da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0503219",
    "kind": "arxiv",
    "version": 4
  }
}