Pith Number

pith:OQ4PNCIE

pith:2026:OQ4PNCIEYKHZDNGLVIZB45AGC6

not attested not anchored not stored refs pending

Unifying Charge-Learnability Transitions in U(1)-Symmetric Quantum Circuits through Informational Power of Local Measurement

Dan-Bo Zhang, Yi-Fan Gong

arxiv:2607.17886 v1 · 2026-07-20 · 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{OQ4PNCIEYKHZDNGLVIZB45AGC6}

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	2026-07-21T02:22:05.049644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7438f68904c28f91b4cbaa321e740617b3ae1cdcfce43067257c6649bf8674ba

Aliases

arxiv: 2607.17886 · arxiv_version: 2607.17886v1 · doi: 10.48550/arxiv.2607.17886 · pith_short_12: OQ4PNCIEYKHZ · pith_short_16: OQ4PNCIEYKHZDNGL · pith_short_8: OQ4PNCIE

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/OQ4PNCIEYKHZDNGLVIZB45AGC6 \
  | 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: 7438f68904c28f91b4cbaa321e740617b3ae1cdcfce43067257c6649bf8674ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae9f3a9f78a6bd2b9a4280b7a24da189b83f5e48dc4994fb274e39b0944f770f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-20T12:37:16Z",
    "title_canon_sha256": "2dce35f65f0bf9bdfcf75434afeebdda0eedb8e9515d91331ded3628718f7b0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17886",
    "kind": "arxiv",
    "version": 1
  }
}