Pith Number

pith:VF6ODJX3

pith:2026:VF6ODJX3TEDKXCPLV5SEMX3GJW

not attested not anchored not stored refs pending

A Weisfeiler-Leman Characterization of Global-Attention Graph Transformers for Mixed-Integer Linear Programs

Craig A. Knoblock, Jay Pujara, Md Abrar Jahin

arxiv:2607.17570 v1 · 2026-07-20 · 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{VF6ODJX3TEDKXCPLV5SEMX3GJW}

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	2026-07-21T01:21:52.846340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a97ce1a6fb9906ab89ebaf64465f664da8fe378ead0922098b4ee4602e7975a7

Aliases

arxiv: 2607.17570 · arxiv_version: 2607.17570v1 · doi: 10.48550/arxiv.2607.17570 · pith_short_12: VF6ODJX3TEDK · pith_short_16: VF6ODJX3TEDKXCPL · pith_short_8: VF6ODJX3

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/VF6ODJX3TEDKXCPLV5SEMX3GJW \
  | 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: a97ce1a6fb9906ab89ebaf64465f664da8fe378ead0922098b4ee4602e7975a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e99d845b9c11c0b38e12737c3e09089884e977e2d157b0aa94488e8f89073bb1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-20T05:29:42Z",
    "title_canon_sha256": "2e93c63a03f26bf9726f324d264366dc9ad65f3ee1a4dcd09a90ea487909b475"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17570",
    "kind": "arxiv",
    "version": 1
  }
}