Pith Number

pith:IXNOMAZY

pith:2025:IXNOMAZYEZZ6R3HLVZFONJFQJQ

not attested not anchored not stored refs pending

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants

Kun Zhang, Linjun Peng, Ruichu Cai, Wanyang Gu, Wei Chen, Zhifeng Hao

arxiv:2507.06888 v1 · 2025-07-09 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IXNOMAZYEZZ6R3HLVZFONJFQJQ}

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	2026-07-05T11:34:24.697734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45dae603382673e8ecebae4ae6a4b04c05a61a484d354c280b96df3cdae19479

Aliases

arxiv: 2507.06888 · arxiv_version: 2507.06888v1 · doi: 10.48550/arxiv.2507.06888 · pith_short_12: IXNOMAZYEZZ6 · pith_short_16: IXNOMAZYEZZ6R3HL · pith_short_8: IXNOMAZY

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/IXNOMAZYEZZ6R3HLVZFONJFQJQ \
  | 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: 45dae603382673e8ecebae4ae6a4b04c05a61a484d354c280b96df3cdae19479

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a34b94ad97be0a3d76e16d30464046ab64eba1f23afeddf103dd8ff49b6d8d52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-09T14:25:51Z",
    "title_canon_sha256": "2addae2bc67466807c6151d4b612e6e5c125f258089053fec7577ba8aa48368d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.06888",
    "kind": "arxiv",
    "version": 1
  }
}