Pith Number

pith:X5FAYGJK

pith:2024:X5FAYGJKHYZ6MDNFA32RCVCNVW

not attested not anchored not stored refs pending

Topological Blindspots: Understanding and Extending Topological Deep Learning Through the Lens of Expressivity

Fabrizio Frasca, Guy Bar-Shalom, Haggai Maron, Michael Bronstein, Yam Eitan, Yoav Gelberg

arxiv:2408.05486 v2 · 2024-08-10 · cs.LG · math.AT · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5FAYGJKHYZ6MDNFA32RCVCNVW}

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	2026-07-05T10:13:02.488858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf4a0c192a3e33e60da506f511544dada8c13f176f7fc25d69fa90614de940b5

Aliases

arxiv: 2408.05486 · arxiv_version: 2408.05486v2 · doi: 10.48550/arxiv.2408.05486 · pith_short_12: X5FAYGJKHYZ6 · pith_short_16: X5FAYGJKHYZ6MDNF · pith_short_8: X5FAYGJK

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/X5FAYGJKHYZ6MDNFA32RCVCNVW \
  | 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: bf4a0c192a3e33e60da506f511544dada8c13f176f7fc25d69fa90614de940b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67de116705fec89863e90ccfa5756208b8d12eda635b12d3737428a528ff54e0",
    "cross_cats_sorted": [
      "math.AT",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-08-10T08:27:58Z",
    "title_canon_sha256": "4a55c29c3f4a351e0b5bc25d6e59a11d2f2b435791e37e9f67857b9122bba64f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.05486",
    "kind": "arxiv",
    "version": 2
  }
}