Pith Number

pith:2LUECG4W

pith:2016:2LUECG4WNTCTKZ3ZAHB5CVVDU2

not attested not anchored not stored refs pending

Identifying the order of a quantum phase transition by means of Wehrl entropy in phase-space

E. Romera, F. P\'erez-Bernal, M. Calixto, O. Casta\~nos

arxiv:1610.03700 v1 · 2016-10-12 · 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{2LUECG4WNTCTKZ3ZAHB5CVVDU2}

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	2026-05-18T01:02:29.540815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2e8411b966cc535677901c3d156a3a69f0d61f097587d5fad34e0df91eb18cb

Aliases

arxiv: 1610.03700 · arxiv_version: 1610.03700v1 · doi: 10.48550/arxiv.1610.03700 · pith_short_12: 2LUECG4WNTCT · pith_short_16: 2LUECG4WNTCTKZ3Z · pith_short_8: 2LUECG4W

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/2LUECG4WNTCTKZ3ZAHB5CVVDU2 \
  | 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: d2e8411b966cc535677901c3d156a3a69f0d61f097587d5fad34e0df91eb18cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9401646f8f0130e07a66376e34fa95af7930cdcd833adc2e8f85387585ff58c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-10-12T13:18:13Z",
    "title_canon_sha256": "d02448e49d2d16c843abab4ea45537de108316a04b169ffcc42faa58c7c2f0e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03700",
    "kind": "arxiv",
    "version": 1
  }
}