Pith Number

pith:W7PI63IR

pith:2008:W7PI63IRMFTJFJ7HTV62PJVW2V

not attested not anchored not stored refs pending

Scaling of the von Neumann entropy across a finite temperature phase transition

Mario Salerno, Vladislav Popkov

arxiv:0804.1061 v1 · 2008-04-07 · 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{W7PI63IRMFTJFJ7HTV62PJVW2V}

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	2026-05-18T04:18:33.372732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7de8f6d11616692a7e79d7da7a6b6d547f4765c3ed6189ee3eab138ce4e36c3

Aliases

arxiv: 0804.1061 · arxiv_version: 0804.1061v1 · doi: 10.48550/arxiv.0804.1061 · pith_short_12: W7PI63IRMFTJ · pith_short_16: W7PI63IRMFTJFJ7H · pith_short_8: W7PI63IR

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/W7PI63IRMFTJFJ7HTV62PJVW2V \
  | 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: b7de8f6d11616692a7e79d7da7a6b6d547f4765c3ed6189ee3eab138ce4e36c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d380097ba85fa634a313a0f97150131dec844ad13c59613164ddaf32394e85f8",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2008-04-07T15:30:30Z",
    "title_canon_sha256": "d545d652bafd1ee7eefc6570e17b2cb7482f2dfe361de0cbafe493d6e2303989"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.1061",
    "kind": "arxiv",
    "version": 1
  }
}