Pith Number

pith:3ZPYLAL3

pith:2025:3ZPYLAL3MIBWV7HUXTLO5OOHAU

not attested not anchored not stored refs pending

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations

Amirreza Akbari, Guillermo Bern\'ardez, Lev Telyatnikov, Louisa Cornelis, Louis Van Langendonck, Marco Montagna, Martin Carrasco, Mathilde Papillon, Nina Miolane, Pere Barlet-Ros

arxiv:2505.15405 v3 · 2025-05-21 · 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{3ZPYLAL3MIBWV7HUXTLO5OOHAU}

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.

Cited by

2 papers in Pith

No Triangulation Without Representation: Generalization in Topological Deep Learning

Have Graph -- Will Lift? The Case for Higher-Order Benchmarks

Receipt and verification

First computed	2026-06-05T00:13:43.582412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de5f85817b62036afcf4bcd6eeb9c7052aad07e9013a856adc1ca1bb21a149fb

Aliases

arxiv: 2505.15405 · arxiv_version: 2505.15405v3 · doi: 10.48550/arxiv.2505.15405 · pith_short_12: 3ZPYLAL3MIBW · pith_short_16: 3ZPYLAL3MIBWV7HU · pith_short_8: 3ZPYLAL3

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/3ZPYLAL3MIBWV7HUXTLO5OOHAU \
  | 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: de5f85817b62036afcf4bcd6eeb9c7052aad07e9013a856adc1ca1bb21a149fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc1d69120f6da307717c7d8ad09384e6efb7e3b2514c64c856ac2160526ba525",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-05-21T11:47:40Z",
    "title_canon_sha256": "c19bca621fc0be654364d3a312995b0d8b8d9e5b9e2dd0f5b998a1ca124fb83d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.15405",
    "kind": "arxiv",
    "version": 3
  }
}