Pith Number

pith:IDEONPBT

pith:2004:IDEONPBTO743R6AJB5L4MS6RJQ

not attested not anchored not stored refs pending

Logarithmic divergence of the block entanglement entropy for the ferromagnetic Heisenberg model

Mario Salerno, Vladislav Popkov

arxiv:quant-ph/0404026 v1 · 2004-04-05 · 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{IDEONPBTO743R6AJB5L4MS6RJQ}

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	2026-05-18T04:18:24.658090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40c8e6bc3377f9b8f8090f57c64bd14c2a5cf8ef20b0881387796808cccca00b

Aliases

arxiv: quant-ph/0404026 · arxiv_version: quant-ph/0404026v1 · doi: 10.48550/arxiv.quant-ph/0404026 · pith_short_12: IDEONPBTO743 · pith_short_16: IDEONPBTO743R6AJ · pith_short_8: IDEONPBT

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/IDEONPBTO743R6AJB5L4MS6RJQ \
  | 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: 40c8e6bc3377f9b8f8090f57c64bd14c2a5cf8ef20b0881387796808cccca00b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f2a065529a3165dff61c845286f9e3f001ec2f7e327868aab2dda4685299610",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-04-05T12:30:57Z",
    "title_canon_sha256": "e9011d94b87561034ec96167eeabbe3d93099d9f6144617d453d1b881d016c87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0404026",
    "kind": "arxiv",
    "version": 1
  }
}