Pith Number

pith:PGOVQWYO

pith:2004:PGOVQWYOXGNRLXFI5FH5PTGIRW

not attested not anchored not stored refs pending

Thermal entanglement of spins in the Heisenberg model at low temperatures

M. Asoudeh, V. Karimipour

arxiv:quant-ph/0405060 v5 · 2004-05-12 · 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{PGOVQWYOXGNRLXFI5FH5PTGIRW}

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	2026-05-18T01:05:03.550420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

799d585b0eb99b15dca8e94fd7ccc88dba516d307599640516e8ec55875099ab

Aliases

arxiv: quant-ph/0405060 · arxiv_version: quant-ph/0405060v5 · doi: 10.48550/arxiv.quant-ph/0405060 · pith_short_12: PGOVQWYOXGNR · pith_short_16: PGOVQWYOXGNRLXFI · pith_short_8: PGOVQWYO

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/PGOVQWYOXGNRLXFI5FH5PTGIRW \
  | 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: 799d585b0eb99b15dca8e94fd7ccc88dba516d307599640516e8ec55875099ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "510013c5141fef39054e70322cb63338f32cca48b15b7d8cb91b8b631812e1c7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-05-12T07:08:14Z",
    "title_canon_sha256": "9e3fdf81a81e0e9b46459d3ab028f889c4d2183f2d7a6711de35250194aa148a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0405060",
    "kind": "arxiv",
    "version": 5
  }
}