Pith Number

pith:TN7VP5P6

pith:2026:TN7VP5P6355NMXPVCJUI7W3MYZ

not attested not anchored not stored refs pending

Topological Neural Operators

Lennart Bastian, Mustafa Hajij, Samuel Leventhal, Tolga Birdal

arxiv:2606.09806 v1 · 2026-06-08 · 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{TN7VP5P6355NMXPVCJUI7W3MYZ}

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	2026-06-09T02:09:10.980764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b7f57f5fedf7ad65df512688fdb6cc64637c6a0c608764e8d6cc58554a7643d

Aliases

arxiv: 2606.09806 · arxiv_version: 2606.09806v1 · doi: 10.48550/arxiv.2606.09806 · pith_short_12: TN7VP5P6355N · pith_short_16: TN7VP5P6355NMXPV · pith_short_8: TN7VP5P6

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/TN7VP5P6355NMXPVCJUI7W3MYZ \
  | 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: 9b7f57f5fedf7ad65df512688fdb6cc64637c6a0c608764e8d6cc58554a7643d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "479d44a6ee2d10e070ed9c01dc769e80d863f678c776765ad2889ea6390f42a3",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-08T17:54:33Z",
    "title_canon_sha256": "d4720b1952229045229df5c00612e84b4cdbca3a68f196c1aa09316094eba193"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09806",
    "kind": "arxiv",
    "version": 1
  }
}