Pith Number

pith:EK7OYOYW

pith:2026:EK7OYOYWV5MBPMWFCNU5P5KVOP

not attested not anchored not stored refs pending

Evaluating QAOA expectation values can be as hard as counting optimal solutions

Stuart Hadfield

arxiv:2608.11385 v1 · 2026-08-11 · quant-ph · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EK7OYOYWV5MBPMWFCNU5P5KVOP}

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	2026-08-13T00:21:43.995631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22beec3b16af5817b2c51369d7f55573ece1449751abd961992c8cc0cb820a96

Aliases

arxiv: 2608.11385 · arxiv_version: 2608.11385v1 · doi: 10.48550/arxiv.2608.11385 · pith_short_12: EK7OYOYWV5MB · pith_short_16: EK7OYOYWV5MBPMWF · pith_short_8: EK7OYOYW

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/EK7OYOYWV5MBPMWFCNU5P5KVOP \
  | 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: 22beec3b16af5817b2c51369d7f55573ece1449751abd961992c8cc0cb820a96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e13a08dd71a9c38b3ef1ffa9b59b6c7be31dbb829c6d5bbb2cddd9b9632de1d4",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-11T19:47:04Z",
    "title_canon_sha256": "29bcf26cd9b45b58ee0bf447f38b2101d428a5ab2f97733a754fa21f69c63a6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11385",
    "kind": "arxiv",
    "version": 1
  }
}