Pith Number

pith:T64IVW37

pith:1999:T64IVW37XP7KPISMBEXK63UQAX

not attested not anchored not stored refs pending

Fast quantum algorithms for numerical integrals and stochastic processes

Colin P. Williams, Daniel S. Abrams

arxiv:quant-ph/9908083 v1 · 1999-08-28 · quant-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T64IVW37XP7KPISMBEXK63UQAX}

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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.

Cited by

1 paper in Pith

On the encoding complexity of quantum numerical integration: an angle-structure characterization

Receipt and verification

First computed	2026-07-04T14:47:27.979841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fb88adb7fbbfea7a24c092eaf6e9005d34a48d5b2b64268b50ee7dae3988131

Aliases

arxiv: quant-ph/9908083 · arxiv_version: quant-ph/9908083v1 · doi: 10.48550/arxiv.quant-ph/9908083 · pith_short_12: T64IVW37XP7K · pith_short_16: T64IVW37XP7KPISM · pith_short_8: T64IVW37

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/T64IVW37XP7KPISMBEXK63UQAX \
  | 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: 9fb88adb7fbbfea7a24c092eaf6e9005d34a48d5b2b64268b50ee7dae3988131

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a014650a60e5ba132bc01ffed8ffa4548484215220a3242882d4dc02e362e9e7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-08-28T00:40:19Z",
    "title_canon_sha256": "26389de06ad3ae0f236cc00cc13d505629104bb3d98163a9002af26cbd9eac27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9908083",
    "kind": "arxiv",
    "version": 1
  }
}