Pith Number

pith:OKDR5B7N

pith:2025:OKDR5B7NCNPB7ARNSWWW4QCSEK

not attested not anchored not stored refs pending

Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics

Justin Zhou, Matthew Powell, Ruixiang Zhang, Wencai Liu, Xueyin Wang, Yiding Max Tang

arxiv:2507.19783 v1 · 2025-07-26 · math-ph · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OKDR5B7NCNPB7ARNSWWW4QCSEK}

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	2026-07-05T11:43:41.928883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72871e87ed135e1f822d95ad6e405222894c48f6683f62d6a9e79227a96e66a4

Aliases

arxiv: 2507.19783 · arxiv_version: 2507.19783v1 · doi: 10.48550/arxiv.2507.19783 · pith_short_12: OKDR5B7NCNPB · pith_short_16: OKDR5B7NCNPB7ARN · pith_short_8: OKDR5B7N

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/OKDR5B7NCNPB7ARNSWWW4QCSEK \
  | 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: 72871e87ed135e1f822d95ad6e405222894c48f6683f62d6a9e79227a96e66a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a1c3589d7e033f4376895505541f6dce02104800faf5952397d0aad85c17054",
    "cross_cats_sorted": [
      "math.MP",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-07-26T04:13:05Z",
    "title_canon_sha256": "36a98905837e83e37c4a62447b55189bfb6abe18546170fb53d787f8e2bf52a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.19783",
    "kind": "arxiv",
    "version": 1
  }
}