Pith Number

pith:PFSLSV3L

pith:2021:PFSLSV3LX3PL7O7NJCEX5T2ZLR

not attested not anchored not stored refs pending

Faster Coherent Quantum Algorithms for Phase, Energy, and Amplitude Estimation

Patrick Rall

arxiv:2103.09717 v4 · 2021-03-17 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFSLSV3LX3PL7O7NJCEX5T2ZLR}

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.

Cited by

1 paper in Pith

Mid-circuit measurement as an algorithmic primitive

Receipt and verification

First computed	2026-07-05T05:24:08.910898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7964b9576bbedebfbbed48897ecf595c5e9ecf23bcac81dc2f4efba7f62de7e0

Aliases

arxiv: 2103.09717 · arxiv_version: 2103.09717v4 · doi: 10.48550/arxiv.2103.09717 · pith_short_12: PFSLSV3LX3PL · pith_short_16: PFSLSV3LX3PL7O7N · pith_short_8: PFSLSV3L

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/PFSLSV3LX3PL7O7NJCEX5T2ZLR \
  | 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: 7964b9576bbedebfbbed48897ecf595c5e9ecf23bcac81dc2f4efba7f62de7e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5830a67a412cc8e2190ab557216887fb217d17aa2597fb31d2b4f050d108a73",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-03-17T15:21:51Z",
    "title_canon_sha256": "b7e178717fc28de356e9162e1100a7ac59fdcadd0df1d840a4b6da0603997b7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.09717",
    "kind": "arxiv",
    "version": 4
  }
}