Pith Number

pith:AKQYMJPU

pith:2026:AKQYMJPUYLLIXOQR5E5F3DNNE4

not attested not anchored not stored refs pending

Optimal estimation of high-dimensional quantum states using locally gentle measurements

Cristina Butucea, Henning Stein, Jan Johannes

arxiv:2607.24491 v1 · 2026-07-27 · math.ST · quant-ph · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AKQYMJPUYLLIXOQR5E5F3DNNE4}

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	2026-07-28T02:24:06.396703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02a18625f4c2d68bba11e93a5d8dad27319075f308362eaf94ecb93c1d0509bb

Aliases

arxiv: 2607.24491 · arxiv_version: 2607.24491v1 · doi: 10.48550/arxiv.2607.24491 · pith_short_12: AKQYMJPUYLLI · pith_short_16: AKQYMJPUYLLIXOQR · pith_short_8: AKQYMJPU

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/AKQYMJPUYLLIXOQR5E5F3DNNE4 \
  | 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: 02a18625f4c2d68bba11e93a5d8dad27319075f308362eaf94ecb93c1d0509bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96e75d35f9b217cac25d88501f3a6a44286cdcfbedd5c71728ddd6d22c178b5a",
    "cross_cats_sorted": [
      "quant-ph",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-07-27T14:28:07Z",
    "title_canon_sha256": "a55323dd3be08accbf9b52b1f80f9b7a9d309119c5e76611d70742e3edd9cf4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24491",
    "kind": "arxiv",
    "version": 1
  }
}