Pith Number

pith:NP4XWSOW

pith:2000:NP4XWSOWVO7QHNL5MRBIDMQIFV

not attested not anchored not stored refs pending

Natural Thermal and Magnetic Entanglement in 1D Heisenberg Model

M. C. Arnesen, S. Bose, V. Vedral

arxiv:quant-ph/0009060 v2 · 2000-09-14 · 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{NP4XWSOWVO7QHNL5MRBIDMQIFV}

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.

Cited by

1 paper in Pith

Entanglement response to Temperature in Interacting Two-Qubit Thermal States

Receipt and verification

First computed	2026-07-04T16:23:02.166741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bf97b49d6abbf03b57d644281b2082d4294a392c1a0184eb15a4ee7fa377770

Aliases

arxiv: quant-ph/0009060 · arxiv_version: quant-ph/0009060v2 · doi: 10.48550/arxiv.quant-ph/0009060 · pith_short_12: NP4XWSOWVO7Q · pith_short_16: NP4XWSOWVO7QHNL5 · pith_short_8: NP4XWSOW

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/NP4XWSOWVO7QHNL5MRBIDMQIFV \
  | 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: 6bf97b49d6abbf03b57d644281b2082d4294a392c1a0184eb15a4ee7fa377770

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a1950a1d2f7aaae0a87f778d4f8846251ed3ee61a68e3732616d056cbadf484",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-09-14T12:27:42Z",
    "title_canon_sha256": "b4d7659fac34791c2e745cc53059850d8d3f4583d239edb1b86ad73416679e0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0009060",
    "kind": "arxiv",
    "version": 2
  }
}