Pith Number

pith:SCMYXP3A

pith:2022:SCMYXP3AO4PI2MAVYYKWLCBBUS

not attested not anchored not stored refs pending

Time complexity analysis of quantum algorithms via linear representations for nonlinear ordinary and partial differential equations

Nana Liu, Shi Jin, Yue Yu

arxiv:2209.08478 v2 · 2022-09-18 · 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{SCMYXP3AO4PI2MAVYYKWLCBBUS}

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	2026-07-05T06:19:53.110283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90998bbf60771e8d3015c615658821a4ae935c8eb4c66ad29b568ea916b3cce1

Aliases

arxiv: 2209.08478 · arxiv_version: 2209.08478v2 · doi: 10.48550/arxiv.2209.08478 · pith_short_12: SCMYXP3AO4PI · pith_short_16: SCMYXP3AO4PI2MAV · pith_short_8: SCMYXP3A

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/SCMYXP3AO4PI2MAVYYKWLCBBUS \
  | 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: 90998bbf60771e8d3015c615658821a4ae935c8eb4c66ad29b568ea916b3cce1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b43869e49ca1c2ecf76ab050ee23694eb95053bc1c74ee207f544d23b1a0e874",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-09-18T05:50:23Z",
    "title_canon_sha256": "af85e39b642a8a237ca9dbf3e4d80ce3a40c3ad01f95f7b714694206ac82d891"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.08478",
    "kind": "arxiv",
    "version": 2
  }
}