Pith Number

pith:L5E53JCZ

pith:2013:L5E53JCZIDVGQQHPSWHRWFJHUP

not attested not anchored not stored refs pending

Quantum discord and quantum phase transition in spin-1/2 frustrated Heisenberg chain

Chu-Hui Fan, Heng-Na Xiong, Yixiao Huang, Zhe Sun

arxiv:1301.6482 v1 · 2013-01-28 · 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{L5E53JCZIDVGQQHPSWHRWFJHUP}

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	2026-05-18T03:35:15.222588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f49dda45940ea6840ef958f1b1527a3e2b9fb23c054d8689a5519652149de2a

Aliases

arxiv: 1301.6482 · arxiv_version: 1301.6482v1 · doi: 10.48550/arxiv.1301.6482 · pith_short_12: L5E53JCZIDVG · pith_short_16: L5E53JCZIDVGQQHP · pith_short_8: L5E53JCZ

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/L5E53JCZIDVGQQHPSWHRWFJHUP \
  | 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: 5f49dda45940ea6840ef958f1b1527a3e2b9fb23c054d8689a5519652149de2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9df786862bd1db6796ac09e8a9c1a51029082116c803780830f2242caea60c46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-01-28T09:27:47Z",
    "title_canon_sha256": "0403aca5ebbe5e06d5bf3947fcd88e857e17bf305f738d7a30c43b24aeaed3a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6482",
    "kind": "arxiv",
    "version": 1
  }
}