Pith Number

pith:O3TMCTKZ

pith:2015:O3TMCTKZ5S3K6M6GZAHA6M7K7Q

not attested not anchored not stored refs pending

Nonzero temperature Entanglement Negativity of quantum spin models: Area law, Linked Cluster Expansions and Sudden Death

Matthew B. Hastings, Nicholas E. Sherman, Rajiv R. P. Singh, Trithep Devakul

arxiv:1510.08005 v1 · 2015-10-27 · cond-mat.stat-mech · 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{O3TMCTKZ5S3K6M6GZAHA6M7K7Q}

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	2026-05-18T01:20:09.196500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76e6c14d59ecb6af33c6c80e0f33eafc03ed7aa7f94a62b92fe989103a2cb45b

Aliases

arxiv: 1510.08005 · arxiv_version: 1510.08005v1 · doi: 10.48550/arxiv.1510.08005 · pith_short_12: O3TMCTKZ5S3K · pith_short_16: O3TMCTKZ5S3K6M6G · pith_short_8: O3TMCTKZ

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/O3TMCTKZ5S3K6M6GZAHA6M7K7Q \
  | 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: 76e6c14d59ecb6af33c6c80e0f33eafc03ed7aa7f94a62b92fe989103a2cb45b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab4c832f7b5be0f4262cf5af03e61600af98505884efb6ce5eb5864f2744029f",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-10-27T17:41:23Z",
    "title_canon_sha256": "af2f181094ad158a349d13b75eeeb42fb09c587a0f15227a461e2211e3e8f99c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08005",
    "kind": "arxiv",
    "version": 1
  }
}