pith. sign in
Pith Number

pith:THX7KIXO

pith:2013:THX7KIXOK6LMES5LSUMSALIFEV
not attested not anchored not stored refs pending

Entanglement negativity in the critical Ising chain

Erik Tonni, Luca Tagliacozzo, Pasquale Calabrese

arxiv:1302.1113 v1 · 2013-02-05 · cond-mat.stat-mech · hep-th · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{THX7KIXOK6LMES5LSUMSALIFEV}

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 2026-05-18T01:51:50.214683Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

99eff522ee5796c24bab9519202d052564f52916b5a404971eea23f6751334c5

Aliases

arxiv: 1302.1113 · arxiv_version: 1302.1113v1 · doi: 10.48550/arxiv.1302.1113 · pith_short_12: THX7KIXOK6LM · pith_short_16: THX7KIXOK6LMES5L · pith_short_8: THX7KIXO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/THX7KIXOK6LMES5LSUMSALIFEV \
  | 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: 99eff522ee5796c24bab9519202d052564f52916b5a404971eea23f6751334c5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "719a9a4298d6c62c88e10a02a49c9b6ae29bee792c1a95513ea305b11580b2d5",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-02-05T16:53:29Z",
    "title_canon_sha256": "2efd1ed5f3ef40095659211f5f8289878e5aafbe881e9f5dd2cecf2626fd8b19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1113",
    "kind": "arxiv",
    "version": 1
  }
}