Pith Number

pith:ZPHWKFEN

pith:2011:ZPHWKFENZFIO2YWO74TWFP4PBI

not attested not anchored not stored refs pending

Ground-State Fidelity and Kosterlitz-Thouless Phase Transition for Spin 1/2 Heisenberg Chain with Next-to-the-Nearest-Neighbor Interaction

Ai-Min Chen, Bo Li, Hong-Lei Wang, Huan-Qiang Zhou

arxiv:1105.3012 v1 · 2011-05-16 · cond-mat.stat-mech

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPHWKFENZFIO2YWO74TWFP4PBI}

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	2026-05-18T02:01:58.065041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbcf65148dc950ed62ceff2762bf8f0a274a6aafa6c9a27e8d69ba02dd343130

Aliases

arxiv: 1105.3012 · arxiv_version: 1105.3012v1 · doi: 10.48550/arxiv.1105.3012 · pith_short_12: ZPHWKFENZFIO · pith_short_16: ZPHWKFENZFIO2YWO · pith_short_8: ZPHWKFEN

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/ZPHWKFENZFIO2YWO74TWFP4PBI \
  | 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: cbcf65148dc950ed62ceff2762bf8f0a274a6aafa6c9a27e8d69ba02dd343130

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12b198d252a1e0f9850a55d841a1f005a47b29933aa19b1dcaad21828a37fa57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-05-16T06:53:31Z",
    "title_canon_sha256": "1b3d58c0c5f2085fbd072ef49df6ca3de08abb49545d32b0f8a1c5b7dd86d7d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3012",
    "kind": "arxiv",
    "version": 1
  }
}