Pith Number

pith:GTZ5DP4R

pith:2026:GTZ5DP4R22E77RAWVTR4AMBNWT

not attested not anchored not stored refs pending

A Unified Framework for Structure-Aware Clustering and Heterogeneous Causal Graph Learning

Honglin Du, Muxuan Liang, Xiang Zhong

arxiv:2605.19313 v1 · 2026-05-19 · stat.ML · cs.LG · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GTZ5DP4R22E77RAWVTR4AMBNWT}

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	2026-05-20T01:05:38.797863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34f3d1bf91d689ffc416ace3c0302db4cb57bac245d8dcca14face89322591d5

Aliases

arxiv: 2605.19313 · arxiv_version: 2605.19313v1 · doi: 10.48550/arxiv.2605.19313 · pith_short_12: GTZ5DP4R22E7 · pith_short_16: GTZ5DP4R22E77RAW · pith_short_8: GTZ5DP4R

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/GTZ5DP4R22E77RAWVTR4AMBNWT \
  | 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: 34f3d1bf91d689ffc416ace3c0302db4cb57bac245d8dcca14face89322591d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e95a15bead7399ff486d23f391637ac23b961a1eb58dfd794cbeacc00379f90",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ME"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-05-19T03:48:54Z",
    "title_canon_sha256": "f7fbd735af1e205f48c38e502706d3fbd1380c747d67a4934c4fbec6ae90df82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19313",
    "kind": "arxiv",
    "version": 1
  }
}