Pith Number

pith:XPDGRFBB

pith:2000:XPDGRFBBRCRQVUDYNK4T7GJL3T

not attested not anchored not stored refs pending

Quantum Complexity of Integration

Erich Novak

arxiv:quant-ph/0008124 v3 · 2000-08-29 · quant-ph · 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{XPDGRFBBRCRQVUDYNK4T7GJL3T}

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	2026-05-18T03:27:55.111812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbc668942188a30ad0786ab93f992bdcee91e00acbf7a3391a174a591a6677d0

Aliases

arxiv: quant-ph/0008124 · arxiv_version: quant-ph/0008124v3 · doi: 10.48550/arxiv.quant-ph/0008124 · pith_short_12: XPDGRFBBRCRQ · pith_short_16: XPDGRFBBRCRQVUDY · pith_short_8: XPDGRFBB

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/XPDGRFBBRCRQVUDYNK4T7GJL3T \
  | 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: bbc668942188a30ad0786ab93f992bdcee91e00acbf7a3391a174a591a6677d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3389ad09a61df52be268f898ceb8d3d7c4bf1cdea6142036571002ec66a36fb8",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-08-29T09:42:41Z",
    "title_canon_sha256": "78183182cfd6984330794b52ce8f521ef0be7feb5ae8ecc842d1cf5f059bfdb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0008124",
    "kind": "arxiv",
    "version": 3
  }
}