Pith Number

pith:KU2VHDGK

pith:2025:KU2VHDGKOUQJK2E2FDTX5SV2OK

not attested not anchored not stored refs pending

A Geometric Unification of Concept Learning with Concept Cones

Alexandre Rocchi, Gianni Franchi, Thomas Fel

arxiv:2512.07355 v2 · 2025-12-08 · cs.AI · cs.CV · 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{KU2VHDGKOUQJK2E2FDTX5SV2OK}

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	2026-06-09T01:05:46.712724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5535538cca752095689a28e77ecaba72a585a391ab7093ffc9a40bdf5d72bfe0

Aliases

arxiv: 2512.07355 · arxiv_version: 2512.07355v2 · doi: 10.48550/arxiv.2512.07355 · pith_short_12: KU2VHDGKOUQJ · pith_short_16: KU2VHDGKOUQJK2E2 · pith_short_8: KU2VHDGK

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/KU2VHDGKOUQJK2E2FDTX5SV2OK \
  | 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: 5535538cca752095689a28e77ecaba72a585a391ab7093ffc9a40bdf5d72bfe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa407646b3141200bbe40b5dae4468a75b7f64ba1d49da27d66c711a76c932ec",
    "cross_cats_sorted": [
      "cs.CV",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2025-12-08T09:51:46Z",
    "title_canon_sha256": "89f483c0b03e92621071918b6b6dd36257e1cdceac9fbe58c13ea3bf58a71cd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.07355",
    "kind": "arxiv",
    "version": 2
  }
}