Pith Number

pith:2BPIBPCD

pith:2014:2BPIBPCDQ3BVIS5J5AMP3J7OR3

not attested not anchored not stored refs pending

Critical behavior of the energy gap and its relation with the Berry phase close to the excited state quantum phase transition in the Lipkin model

Ping Zhang, Shu-Shen Li, Zi-Gang Yuan

arxiv:1405.0636 v1 · 2014-05-04 · cond-mat.str-el · 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{2BPIBPCDQ3BVIS5J5AMP3J7OR3}

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	2026-05-18T02:52:41.020062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d05e80bc4386c3544ba9e818fda7ee8ec15eddbd393ffd7c69923a841d43531d

Aliases

arxiv: 1405.0636 · arxiv_version: 1405.0636v1 · doi: 10.48550/arxiv.1405.0636 · pith_short_12: 2BPIBPCDQ3BV · pith_short_16: 2BPIBPCDQ3BVIS5J · pith_short_8: 2BPIBPCD

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/2BPIBPCDQ3BVIS5J5AMP3J7OR3 \
  | 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: d05e80bc4386c3544ba9e818fda7ee8ec15eddbd393ffd7c69923a841d43531d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5a9f11a923e2f08d3921e9cd662628760a50ea9e095a39ba71efc127d38d8bd",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2014-05-04T00:23:21Z",
    "title_canon_sha256": "f807348c51cb19b5e8eea916c9eda6789a34e24fa227fe9872261d3ffbc68f58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0636",
    "kind": "arxiv",
    "version": 1
  }
}