Pith Number

pith:ODRSAXBA

pith:2004:ODRSAXBASHWBGOBFOB573D7RAR

not attested not anchored not stored refs pending

Entanglement and Quantum Phase Transition in Low Dimensional Spin Systems

F. C. Zhang, Paolo Zanardi, Yan Chen, Z. D. Wang

arxiv:quant-ph/0407228 v4 · 2004-07-28 · 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{ODRSAXBASHWBGOBFOB573D7RAR}

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	2026-05-18T01:37:58.455712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70e3205c2091ec133825707bfd8ff10455aa556e36e706dccd52499337abb813

Aliases

arxiv: quant-ph/0407228 · arxiv_version: quant-ph/0407228v4 · doi: 10.48550/arxiv.quant-ph/0407228 · pith_short_12: ODRSAXBASHWB · pith_short_16: ODRSAXBASHWBGOBF · pith_short_8: ODRSAXBA

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/ODRSAXBASHWBGOBFOB573D7RAR \
  | 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: 70e3205c2091ec133825707bfd8ff10455aa556e36e706dccd52499337abb813

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "822ba7d42ff258945ca456bca1c3ac41bbd508046199d5b99420db86cc6a8352",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-07-28T17:13:09Z",
    "title_canon_sha256": "6ccc31957e3bc66c1cf5f940b9fc8da74a95e40742c447e06ca074669b602793"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0407228",
    "kind": "arxiv",
    "version": 4
  }
}