Pith Number

pith:NY5LY2LV

pith:2012:NY5LY2LVOMKRYXG7Q3DFH2EIEM

not attested not anchored not stored refs pending

Entanglement entropy in long-range harmonic oscillators

M. A. Rajabpour, M. Ghasemi Nezhadhaghighi

arxiv:1209.1883 v2 · 2012-09-10 · cond-mat.stat-mech · hep-th · 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{NY5LY2LVOMKRYXG7Q3DFH2EIEM}

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	2026-05-18T03:36:06.317647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e3abc697573151c5cdf86c653e888230e038884524d906ac75788d3a06a2d9d

Aliases

arxiv: 1209.1883 · arxiv_version: 1209.1883v2 · doi: 10.48550/arxiv.1209.1883 · pith_short_12: NY5LY2LVOMKR · pith_short_16: NY5LY2LVOMKRYXG7 · pith_short_8: NY5LY2LV

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/NY5LY2LVOMKRYXG7Q3DFH2EIEM \
  | 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: 6e3abc697573151c5cdf86c653e888230e038884524d906ac75788d3a06a2d9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8d0f9a81cf670811c0806880a5d48e742c8d7608c94353c6e967277c79cca7e",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-09-10T06:40:48Z",
    "title_canon_sha256": "60e036a8a1362245ecdc4a4898bbd4eb444033565a745501bdcc933d31f85f30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1883",
    "kind": "arxiv",
    "version": 2
  }
}