Pith Number

pith:GBHKPFUN

pith:2026:GBHKPFUNNYD3ZNKJI3RPU4QZML

not attested not anchored not stored refs pending

Graph Hierarchical Recurrence for Long-Range Generalization

Alessio Gravina, Bruno Lepri, Davide Bacciu, Marco Pacini, Sebastiano Bontorin, Stefano Carotti

arxiv:2605.18387 v1 · 2026-05-18 · cs.LG · cs.AI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GBHKPFUNNYD3ZNKJI3RPU4QZML}

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	2026-05-20T00:05:58.328515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

304ea7968d6e07bcb54946e2fa721962dd3802d8ae3baebf0c23b93cfee11c6b

Aliases

arxiv: 2605.18387 · arxiv_version: 2605.18387v1 · doi: 10.48550/arxiv.2605.18387 · pith_short_12: GBHKPFUNNYD3 · pith_short_16: GBHKPFUNNYD3ZNKJ · pith_short_8: GBHKPFUN

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/GBHKPFUNNYD3ZNKJI3RPU4QZML \
  | 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: 304ea7968d6e07bcb54946e2fa721962dd3802d8ae3baebf0c23b93cfee11c6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ef91e0e3cc598381cae82a8e9c1461c56f5e6aac89d9cd65174d10abfa41042",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-18T13:31:21Z",
    "title_canon_sha256": "d3fd4d86bdea3779afd258fb3643692ff9d5d69756300410f5cc97e1e6245e98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18387",
    "kind": "arxiv",
    "version": 1
  }
}