Pith Number

pith:O2LJMBYW

pith:2026:O2LJMBYWVL5BFEPSCACRQ76I4P

not attested not anchored not stored refs pending

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation

Di Fang, Justin Park

arxiv:2607.07389 v1 · 2026-07-08 · 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{O2LJMBYWVL5BFEPSCACRQ76I4P}

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	2026-07-09T01:20:23.659164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7696960716aafa1291f21005187fc8e3f13676cad61e29a3e7fc5dd2a61e0817

Aliases

arxiv: 2607.07389 · arxiv_version: 2607.07389v1 · doi: 10.48550/arxiv.2607.07389 · pith_short_12: O2LJMBYWVL5B · pith_short_16: O2LJMBYWVL5BFEPS · pith_short_8: O2LJMBYW

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/O2LJMBYWVL5BFEPSCACRQ76I4P \
  | 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: 7696960716aafa1291f21005187fc8e3f13676cad61e29a3e7fc5dd2a61e0817

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3dc72964c30a6a951b5fd9e6f1b5d26417f943ebc1f595538b69ec98adc9f2b",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-08T13:20:43Z",
    "title_canon_sha256": "08c3bebed037efe764f803b45d1d75908d21bcdcb0f160d88fe90784e0a71322"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07389",
    "kind": "arxiv",
    "version": 1
  }
}