Pith Number

pith:WT5NZZGG

pith:2025:WT5NZZGGDNG4Y4G2Y3I6TU6S2I

not attested not anchored not stored refs pending

Sheaves Reloaded: A Directional Awakening

Alessio Del Bue, Hakan Aktas, Iulia Duta, Pietro Li\`o, Pietro Morerio, Stefano Coniglio, Stefano Fiorini

arxiv:2506.02842 v1 · 2025-06-03 · 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{WT5NZZGGDNG4Y4G2Y3I6TU6S2I}

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

Consistent Geometric Deep Learning via Hilbert Bundles and Cellular Sheaves

Receipt and verification

First computed	2026-07-05T11:15:10.240599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4fadce4c61b4dcc70dac6d1e9d3d2d210f66770096a7473a9c703903147b36a

Aliases

arxiv: 2506.02842 · arxiv_version: 2506.02842v1 · doi: 10.48550/arxiv.2506.02842 · pith_short_12: WT5NZZGGDNG4 · pith_short_16: WT5NZZGGDNG4Y4G2 · pith_short_8: WT5NZZGG

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/WT5NZZGGDNG4Y4G2Y3I6TU6S2I \
  | 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: b4fadce4c61b4dcc70dac6d1e9d3d2d210f66770096a7473a9c703903147b36a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2e797b4c79184382d56cbe4a7d308b941d00c6bbef38259c389909abff76f35",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-06-03T13:13:56Z",
    "title_canon_sha256": "ca32d93050fdec9529fac963327141c9607aa0dd9bf840a9b1a5a12972d7978b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02842",
    "kind": "arxiv",
    "version": 1
  }
}