Pith Number

pith:PPH33DMX

pith:2026:PPH33DMX4VYYTCTEKBMS6MDFJ7

not attested not anchored not stored refs pending

On the Potential of Graph Neural Networks as Metamodels for Supply Chain Optimization: Dataset, Architectures, and Directions

Neha Karanjkar, Tushar Lone

arxiv:2607.16769 v1 · 2026-07-18 · 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{PPH33DMX4VYYTCTEKBMS6MDFJ7}

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	2026-07-21T01:20:58.231336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bcfbd8d97e571898a6450592f30654fd391cb1672cac97c931006199866da97

Aliases

arxiv: 2607.16769 · arxiv_version: 2607.16769v1 · doi: 10.48550/arxiv.2607.16769 · pith_short_12: PPH33DMX4VYY · pith_short_16: PPH33DMX4VYYTCTE · pith_short_8: PPH33DMX

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/PPH33DMX4VYYTCTEKBMS6MDFJ7 \
  | 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: 7bcfbd8d97e571898a6450592f30654fd391cb1672cac97c931006199866da97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf14f61bf89bdbdc9070a52c26ed3fcd5d60a60d675e3bde756b8a3395d8cdaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-18T11:06:22Z",
    "title_canon_sha256": "41b350ad06158205ada19f6a28dce0e25ddfd1e59d3df2f2f03be713fd36d9ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16769",
    "kind": "arxiv",
    "version": 1
  }
}