Pith Number

pith:PCYOCSIU

pith:2024:PCYOCSIUQ5YOCJMVI2LPUFD5DV

not attested not anchored not stored refs pending

Counterexamples to a Weitz-Style Reduction for Multispin Systems

Francisco Pernice, Kuikui Liu, Nitya Mani

arxiv:2411.06541 v2 · 2024-11-10 · cs.DS · 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{PCYOCSIUQ5YOCJMVI2LPUFD5DV}

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	2026-07-05T10:11:28.477155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78b0e149148770e125954696fa147d1d675ff0a9432a5d07f59b03c61bb99849

Aliases

arxiv: 2411.06541 · arxiv_version: 2411.06541v2 · doi: 10.48550/arxiv.2411.06541 · pith_short_12: PCYOCSIUQ5YO · pith_short_16: PCYOCSIUQ5YOCJMV · pith_short_8: PCYOCSIU

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/PCYOCSIUQ5YOCJMVI2LPUFD5DV \
  | 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: 78b0e149148770e125954696fa147d1d675ff0a9432a5d07f59b03c61bb99849

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e7c21e220ce85d8d7e32df87edb2f27252140f04da571d938c346c346852c98",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2024-11-10T17:43:24Z",
    "title_canon_sha256": "df23305ab4501d10c01033d8a43c108a3a74cbc16babd0c73c4c1b687fe0e7d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.06541",
    "kind": "arxiv",
    "version": 2
  }
}