Pith Number

pith:LUQA7ZTJ

pith:2024:LUQA7ZTJ2JBAEMQHZFRIXZOJ2T

not attested not anchored not stored refs pending

The suboptimality ratio of projective measurements restricted to low-rank subspaces

Albert Senen-Cerda

arxiv:2412.12413 v1 · 2024-12-16 · quant-ph · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LUQA7ZTJ2JBAEMQHZFRIXZOJ2T}

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	2026-07-05T09:50:14.485582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d200fe669d242023207c9628be5c9d4e96147f3f7c770fc208aa1ec6d4ebace

Aliases

arxiv: 2412.12413 · arxiv_version: 2412.12413v1 · doi: 10.48550/arxiv.2412.12413 · pith_short_12: LUQA7ZTJ2JBA · pith_short_16: LUQA7ZTJ2JBAEMQH · pith_short_8: LUQA7ZTJ

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/LUQA7ZTJ2JBAEMQHZFRIXZOJ2T \
  | 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: 5d200fe669d242023207c9628be5c9d4e96147f3f7c770fc208aa1ec6d4ebace

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "356a18fd5c8ca42ad70bfe4725cc48e35d36e242b76d05edf30862052c56ee38",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-12-16T23:35:21Z",
    "title_canon_sha256": "3b55992ccf6afb997c7ef3b009f0d1366eb40182c2e007992ebd7c869d645491"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.12413",
    "kind": "arxiv",
    "version": 1
  }
}