Pith Number

pith:VADX43WA

pith:2025:VADX43WAUEQJCW4YZIBFMVBXBZ

not attested not anchored not stored refs pending

Hierarchical Graph Information Bottleneck for Multi-Behavior Recommendation

Chunxu Shen, Hengyu Zhang, Hong Cheng, Jie Tan, Lingling Yi, Xiangguo Sun, Yanchao Tan, Yu Rong

arxiv:2507.15395 v1 · 2025-07-21 · cs.IR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VADX43WAUEQJCW4YZIBFMVBXBZ}

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	2026-07-05T11:40:24.179654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8077e6ec0a120915b98ca025654370e7241e667ee84e63acb92d8c6495ac252

Aliases

arxiv: 2507.15395 · arxiv_version: 2507.15395v1 · doi: 10.48550/arxiv.2507.15395 · pith_short_12: VADX43WAUEQJ · pith_short_16: VADX43WAUEQJCW4Y · pith_short_8: VADX43WA

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/VADX43WAUEQJCW4YZIBFMVBXBZ \
  | 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: a8077e6ec0a120915b98ca025654370e7241e667ee84e63acb92d8c6495ac252

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51cf1870a3fde51822d60c7843150c99b588665a80ec930820d84315f640c0ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IR",
    "submitted_at": "2025-07-21T08:53:49Z",
    "title_canon_sha256": "1a0b985b75c65207ca998cda0c6681cbf86a8c874aaecf6b3c80360eac4bc964"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15395",
    "kind": "arxiv",
    "version": 1
  }
}