Pith Number

pith:Y277U2DF

pith:2024:Y277U2DFQDQLFWW2LZBBKWZUOH

not attested not anchored not stored refs pending

Limitations and Separations in the Quantum Sum-of-squares, and the Quantum Knapsack Problem

M. B. Hastings

arxiv:2402.14752 v2 · 2024-02-22 · 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{Y277U2DFQDQLFWW2LZBBKWZUOH}

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

Certifying Quantum Optimization and Circuit Cutting by Using Quantum-Classical Moment Duality

Receipt and verification

First computed	2026-07-05T07:51:39.613103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6bffa686580e0b2dada5e42155b3471f028325e8b128466b2e5d008d8f48ee6

Aliases

arxiv: 2402.14752 · arxiv_version: 2402.14752v2 · doi: 10.48550/arxiv.2402.14752 · pith_short_12: Y277U2DFQDQL · pith_short_16: Y277U2DFQDQLFWW2 · pith_short_8: Y277U2DF

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/Y277U2DFQDQLFWW2LZBBKWZUOH \
  | 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: c6bffa686580e0b2dada5e42155b3471f028325e8b128466b2e5d008d8f48ee6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8a228aac360668064a1ae0080ea5ff3e3ec9f8cbfe2e928dc659d9edc71503d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-02-22T18:12:03Z",
    "title_canon_sha256": "206d9c63346cda6cbbd827e237132e5a4bf9b5c619c9fc9412e326b90fad0bb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.14752",
    "kind": "arxiv",
    "version": 2
  }
}