Pith Number

pith:XIWCF4GG

pith:2023:XIWCF4GGAKATTLNQ3HC3L7L4QQ

not attested not anchored not stored refs pending

Algorithmic Cluster Expansions for Quantum Problems

Romy M. Minko, Ryan L. Mann

arxiv:2306.08974 v2 · 2023-06-15 · quant-ph · cs.CC · cs.DS · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XIWCF4GGAKATTLNQ3HC3L7L4QQ}

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	2026-07-05T07:34:15.500412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba2c22f0c6028139adb0d9c5b5fd7c84126d9cdd0e05b7c44d7b1e16b3b02d76

Aliases

arxiv: 2306.08974 · arxiv_version: 2306.08974v2 · doi: 10.48550/arxiv.2306.08974 · pith_short_12: XIWCF4GGAKAT · pith_short_16: XIWCF4GGAKATTLNQ · pith_short_8: XIWCF4GG

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/XIWCF4GGAKATTLNQ3HC3L7L4QQ \
  | 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: ba2c22f0c6028139adb0d9c5b5fd7c84126d9cdd0e05b7c44d7b1e16b3b02d76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97f50d58af68e46dff6198063176e4a40d52a307b2acf486033ac23fa3011892",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2023-06-15T09:11:48Z",
    "title_canon_sha256": "1ba0024e7d4fa4e671a4110c16f76bccafd43fc5db7e2957e895c689ee79a321"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.08974",
    "kind": "arxiv",
    "version": 2
  }
}