Pith Number

pith:4PSF72N4

pith:2023:4PSF72N4ZJQUFCYKXOMBPQF2P2

not attested not anchored not stored refs pending

Tangent Bundle Convolutional Learning: from Manifolds to Cellular Sheaves and Back

Alejandro Ribeiro, Claudio Battiloro, Hans Riess, Paolo Di Lorenzo, Zhiyang Wang

arxiv:2303.11323 v2 · 2023-03-20 · eess.SP · 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{4PSF72N4ZJQUFCYKXOMBPQF2P2}

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	2026-07-05T07:56:47.216005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3e45fe9bcca61428b0abb9817c0ba7e9ec39234a16ba6792b18541c60339322

Aliases

arxiv: 2303.11323 · arxiv_version: 2303.11323v2 · doi: 10.48550/arxiv.2303.11323 · pith_short_12: 4PSF72N4ZJQU · pith_short_16: 4PSF72N4ZJQUFCYK · pith_short_8: 4PSF72N4

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/4PSF72N4ZJQUFCYKXOMBPQF2P2 \
  | 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: e3e45fe9bcca61428b0abb9817c0ba7e9ec39234a16ba6792b18541c60339322

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "496747cddef319c4719c13c595077c8e5bd35a178e9ebf620e97b860f4a4e997",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2023-03-20T17:57:15Z",
    "title_canon_sha256": "7584ea7cd10ff144ac2db974c6e0504b07daab7548fc1a3af7a05243cc821a53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.11323",
    "kind": "arxiv",
    "version": 2
  }
}