Pith Number

pith:C4WABQPW

pith:2026:C4WABQPWRCK6IKS7RIG6WBBUGG

not attested not anchored not stored refs pending

A Framework for Directed Acyclic Hypergraph Learning

Carlos Mundo-Levano, Daniel Lau, Gonzalo R. Arce, Wei Qian, Zhiyuan Dong

arxiv:2606.21668 v1 · 2026-06-19 · 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{C4WABQPWRCK6IKS7RIG6WBBUGG}

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	2026-06-23T01:13:18.439377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

172c00c1f68895e42a5f8a0deb043431b3e6c66f669079541fe2a54daddf8607

Aliases

arxiv: 2606.21668 · arxiv_version: 2606.21668v1 · doi: 10.48550/arxiv.2606.21668 · pith_short_12: C4WABQPWRCK6 · pith_short_16: C4WABQPWRCK6IKS7 · pith_short_8: C4WABQPW

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/C4WABQPWRCK6IKS7RIG6WBBUGG \
  | 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: 172c00c1f68895e42a5f8a0deb043431b3e6c66f669079541fe2a54daddf8607

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32ea527a37277054a794a8f788bb63816981d3729f4f8070394990154bda52c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-19T18:18:46Z",
    "title_canon_sha256": "4c11e2f687c9b8da56e2c42bb27e155097f4035d481d006a610856f0252233f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21668",
    "kind": "arxiv",
    "version": 1
  }
}