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Pith Number

pith:JJIT5BVA

pith:2011:JJIT5BVADVN4BHC6MXXFC6BYCQ
not attested not anchored not stored refs pending

Entanglement Entropy and Entanglement Spectrum for Two-Dimensional Classical Spin Configuration

Hiroaki Matsueda

arxiv:1109.0104 v1 · 2011-09-01 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JJIT5BVADVN4BHC6MXXFC6BYCQ}

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 2026-05-18T04:14:17.412838Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4a513e86a01d5bc09c5e65ee517838142ec61653da7d351d87009eb97b96fba3

Aliases

arxiv: 1109.0104 · arxiv_version: 1109.0104v1 · doi: 10.48550/arxiv.1109.0104 · pith_short_12: JJIT5BVADVN4 · pith_short_16: JJIT5BVADVN4BHC6 · pith_short_8: JJIT5BVA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JJIT5BVADVN4BHC6MXXFC6BYCQ \
  | 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: 4a513e86a01d5bc09c5e65ee517838142ec61653da7d351d87009eb97b96fba3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0476f47012be82def0d2498d1488054c1c5e7ff3a5abdcd5a5ba895c6ac70410",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-09-01T06:41:52Z",
    "title_canon_sha256": "441324bd954d460011f1e756f31ebd75c77833ceab0625437c495ac723779e22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0104",
    "kind": "arxiv",
    "version": 1
  }
}