Pith Number

pith:XRAZ4TJX

pith:2020:XRAZ4TJXXBYDMLVHBANOR2W2JK

not attested not anchored not stored refs pending

Fractional order graph neural network

Chunbo Luo, Geyong Min, Peng Ren, Shuai Li, Zijian Liu

arxiv:2001.04026 v3 · 2020-01-05 · cs.LG · cs.CV · 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{XRAZ4TJXXBYDMLVHBANOR2W2JK}

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	2026-07-05T02:55:05.527630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc419e4d37b870362ea7081ae8eada4aaedb6de16d022f4c478ca2f96d462dab

Aliases

arxiv: 2001.04026 · arxiv_version: 2001.04026v3 · doi: 10.48550/arxiv.2001.04026 · pith_short_12: XRAZ4TJXXBYD · pith_short_16: XRAZ4TJXXBYDMLVH · pith_short_8: XRAZ4TJX

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/XRAZ4TJXXBYDMLVHBANOR2W2JK \
  | 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: bc419e4d37b870362ea7081ae8eada4aaedb6de16d022f4c478ca2f96d462dab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7b49a1f31ddf477eacf83217062e4df49b1d3e97293b67bf191e613a719d040",
    "cross_cats_sorted": [
      "cs.CV",
      "stat.ME"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-01-05T11:55:55Z",
    "title_canon_sha256": "1ae8ad151040ed82b339b7a2d1e74b04d9fb27bd3f254d4e13961c9e5f4850d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.04026",
    "kind": "arxiv",
    "version": 3
  }
}