Pith Number

pith:52GWY5D4

pith:2025:52GWY5D4NJOLBU35C44R6E6GID

not attested not anchored not stored refs pending

Quantum complexity phase transition in fermionic quantum circuits

Wei Xia, Xiaopeng Li, Xingze Qiu, Yijia Zhou

arxiv:2507.22125 v1 · 2025-07-29 · quant-ph · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{52GWY5D4NJOLBU35C44R6E6GID}

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	2026-07-05T11:45:16.874769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee8d6c747c6a5cb0d37d17391f13c640d50e252d580490ae3ffbfb9761a1da6e

Aliases

arxiv: 2507.22125 · arxiv_version: 2507.22125v1 · doi: 10.48550/arxiv.2507.22125 · pith_short_12: 52GWY5D4NJOL · pith_short_16: 52GWY5D4NJOLBU35 · pith_short_8: 52GWY5D4

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/52GWY5D4NJOLBU35C44R6E6GID \
  | 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: ee8d6c747c6a5cb0d37d17391f13c640d50e252d580490ae3ffbfb9761a1da6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8f85463eae74805a4e4f69dec51bd2431c8f5c6db28a63de4ce8a902cb6c5c1",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-07-29T18:00:25Z",
    "title_canon_sha256": "1b159f87e55a37613add468990003ab8e540286d01003d62e0def1829f6af52f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.22125",
    "kind": "arxiv",
    "version": 1
  }
}