Pith Number

pith:HWJ44DFW

pith:2025:HWJ44DFWAV5NMW6IEGN2RGXYTW

not attested not anchored not stored refs pending

Operator Spreading and Information Propagation: Equivalence and Beyond

Cheng Shang, Hayato Kinkawa, Tomotaka Kuwahara, Zhi-Guang Lu

arxiv:2505.07955 v1 · 2025-05-12 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HWJ44DFWAV5NMW6IEGN2RGXYTW}

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	2026-07-05T11:02:00.006951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d93ce0cb6057ad65bc8219ba89af89d90ad40a4c55a669575bd453debeb4f67

Aliases

arxiv: 2505.07955 · arxiv_version: 2505.07955v1 · doi: 10.48550/arxiv.2505.07955 · pith_short_12: HWJ44DFWAV5N · pith_short_16: HWJ44DFWAV5NMW6I · pith_short_8: HWJ44DFW

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/HWJ44DFWAV5NMW6IEGN2RGXYTW \
  | 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: 3d93ce0cb6057ad65bc8219ba89af89d90ad40a4c55a669575bd453debeb4f67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afcff47bcfeb8a9e5684829370cc78e0d24f7c43b1847962ea3859388919fb45",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-05-12T18:00:23Z",
    "title_canon_sha256": "8c88555f8b8aa1bcdeb65d160544bee7bc45f595a6c532d5d8c899f147161a2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.07955",
    "kind": "arxiv",
    "version": 1
  }
}