Pith Number

pith:Z2K5Y52Z

pith:2025:Z2K5Y52ZZ4V3QMUABUVDA565VU

not attested not anchored not stored refs pending

Quantum Wave Atom Transforms

Marianna Podzorova, Yi-Kai Liu

arxiv:2507.10739 v3 · 2025-07-14 · quant-ph · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2K5Y52ZZ4V3QMUABUVDA565VU}

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	2026-06-23T03:13:46.274684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce95dc7759cf2bb832800d2a3077ddad07f0e9282051c7630bea0aa09199c874

Aliases

arxiv: 2507.10739 · arxiv_version: 2507.10739v3 · doi: 10.48550/arxiv.2507.10739 · pith_short_12: Z2K5Y52ZZ4V3 · pith_short_16: Z2K5Y52ZZ4V3QMUA · pith_short_8: Z2K5Y52Z

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/Z2K5Y52ZZ4V3QMUABUVDA565VU \
  | 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: ce95dc7759cf2bb832800d2a3077ddad07f0e9282051c7630bea0aa09199c874

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da5028eb8abeb3852faff3dfddd7d188a595deefaa02e92a54a2e7c8357d4628",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-07-14T19:03:22Z",
    "title_canon_sha256": "90d3d201151ccb9887df6be74d6deb1714d14e9bd0db1d96a59e54eed3b44449"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.10739",
    "kind": "arxiv",
    "version": 3
  }
}