Pith Number

pith:KO6GZNYV

pith:2026:KO6GZNYVK6C6WMH5AOEHPDA427

not attested not anchored not stored refs pending

Optimal Probe State for Phase Estimation Under Covariant Measurement

Christos N. Gagatsos, Qipeng Qian

arxiv:2606.18169 v1 · 2026-06-16 · 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{KO6GZNYVK6C6WMH5AOEHPDA427}

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	2026-06-19T16:10:50.018310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53bc6cb7155785eb30fd0388778c1cd7fb7b84474f8c310df105f8180d7782e0

Aliases

arxiv: 2606.18169 · arxiv_version: 2606.18169v1 · doi: 10.48550/arxiv.2606.18169 · pith_short_12: KO6GZNYVK6C6 · pith_short_16: KO6GZNYVK6C6WMH5 · pith_short_8: KO6GZNYV

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/KO6GZNYVK6C6WMH5AOEHPDA427 \
  | 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: 53bc6cb7155785eb30fd0388778c1cd7fb7b84474f8c310df105f8180d7782e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "426109f89f5d78024fd1233d04b404b6c27194fe6026701532c5bc841b71ca4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-16T17:06:57Z",
    "title_canon_sha256": "d55e3be590a55694f7033cf872960cb42bb2a807105a2afdbb04ad0c1c207c1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18169",
    "kind": "arxiv",
    "version": 1
  }
}