Pith Number

pith:5QVQFFQT

pith:2011:5QVQFFQTYY7O2YKMBZ5FJJXWFO

not attested not anchored not stored refs pending

Dynamical bifurcation as a semiclassical counterpart of a quantum phase transition

Alessandro Vezzani, Pierfrancesco Buonsante, Vittorio Penna

arxiv:1106.4163 v2 · 2011-06-21 · cond-mat.stat-mech · 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{5QVQFFQTYY7O2YKMBZ5FJJXWFO}

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	2026-05-18T04:07:07.812285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec2b029613c63eed614c0e7a54a6f62b9766e0d1d715eabc1e37f42a8511076e

Aliases

arxiv: 1106.4163 · arxiv_version: 1106.4163v2 · doi: 10.48550/arxiv.1106.4163 · pith_short_12: 5QVQFFQTYY7O · pith_short_16: 5QVQFFQTYY7O2YKM · pith_short_8: 5QVQFFQT

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/5QVQFFQTYY7O2YKMBZ5FJJXWFO \
  | 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: ec2b029613c63eed614c0e7a54a6f62b9766e0d1d715eabc1e37f42a8511076e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91efcf4d0843ffc31fae71557463bf97c89d37c7440c97d398a0ad76475483cd",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-06-21T10:41:37Z",
    "title_canon_sha256": "5c4362127ce845728474d1c5481127bb37ea98fd2df459b38d9af8f1223fe968"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4163",
    "kind": "arxiv",
    "version": 2
  }
}