Pith Number

pith:KGHNHXQT

pith:2026:KGHNHXQTB4AJ2D76NZQPMSDPPX

not attested not anchored not stored refs pending

The Keyl-Werner algorithm is not optimal for spectrum estimation

Angelos Pelecanos, Ewin Tang, Jack Spilecki, John Wright

arxiv:2607.27117 v1 · 2026-07-29 · quant-ph · cs.CC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KGHNHXQTB4AJ2D76NZQPMSDPPX}

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

The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\widetilde{\Theta}(r^2/\varepsilon^2)$

Receipt and verification

First computed	2026-07-30T01:23:37.719468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

518ed3de130f009d0ffe6e60f6486f7ddb394edbe3f3aa5adfb61229edd34784

Aliases

arxiv: 2607.27117 · arxiv_version: 2607.27117v1 · doi: 10.48550/arxiv.2607.27117 · pith_short_12: KGHNHXQTB4AJ · pith_short_16: KGHNHXQTB4AJ2D76 · pith_short_8: KGHNHXQT

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/KGHNHXQTB4AJ2D76NZQPMSDPPX \
  | 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: 518ed3de130f009d0ffe6e60f6486f7ddb394edbe3f3aa5adfb61229edd34784

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dc115c649c156a11af730ddf3e28f7127291c4698bf3fe01d02177e0c4e46a8",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-29T16:46:05Z",
    "title_canon_sha256": "d2061808f260f2bb2041dc58b5893df859e6925504dd65e8c490bb5bcc6d003a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27117",
    "kind": "arxiv",
    "version": 1
  }
}