Pith Number

pith:6Z34ZX76

pith:2022:6Z34ZX76ZGAW5XUALXHYLAFMAA

not attested not anchored not stored refs pending

Volume-law to area-law entanglement transition in a non-unitary periodic Gaussian circuit

Carolyn Zhang, Etienne Granet, Henrik Dreyer

arxiv:2212.10584 v2 · 2022-12-20 · quant-ph · cond-mat.stat-mech · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6Z34ZX76ZGAW5XUALXHYLAFMAA}

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	2026-07-05T09:06:52.648275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f677ccdffec9816ede805dcf8580ac00182d4247c9f901fdb4d6b66758bf9b0b

Aliases

arxiv: 2212.10584 · arxiv_version: 2212.10584v2 · doi: 10.48550/arxiv.2212.10584 · pith_short_12: 6Z34ZX76ZGAW · pith_short_16: 6Z34ZX76ZGAW5XUA · pith_short_8: 6Z34ZX76

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/6Z34ZX76ZGAW5XUALXHYLAFMAA \
  | 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: f677ccdffec9816ede805dcf8580ac00182d4247c9f901fdb4d6b66758bf9b0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4befcd909e73dff57d135dba5501a2b57d1c2de87dc9602c01c26b28302582b6",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cond-mat.str-el"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-12-20T19:00:16Z",
    "title_canon_sha256": "0a187689fd56e9e861fb1e43a4e6969aee26ae7b9fb8dbf8433c83e0c451b0e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.10584",
    "kind": "arxiv",
    "version": 2
  }
}