Pith Number

pith:MFDS2VOQ

pith:2025:MFDS2VOQ7FHYXEGXXYP4TPZZTS

not attested not anchored not stored refs pending

An Ontology-Based Approach to Optimizing Geometry Problem Sets for Skill Development

Lielle Rifkin, Matthew Chen, Michael Bouzinier, Sergey Trifonov, Tarun Venkatesh

arxiv:2509.02758 v3 · 2025-09-02 · math.HO · 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{MFDS2VOQ7FHYXEGXXYP4TPZZTS}

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	2026-07-27T00:19:44.167152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61472d55d0f94f8b90d7be1fc9bf399caf01f7223e135c3fac48336cdf768281

Aliases

arxiv: 2509.02758 · arxiv_version: 2509.02758v3 · doi: 10.48550/arxiv.2509.02758 · pith_short_12: MFDS2VOQ7FHY · pith_short_16: MFDS2VOQ7FHYXEGX · pith_short_8: MFDS2VOQ

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/MFDS2VOQ7FHYXEGXXYP4TPZZTS \
  | 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: 61472d55d0f94f8b90d7be1fc9bf399caf01f7223e135c3fac48336cdf768281

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cfd3c2734278c93144c7bfcd5d7165436ff69b58dfb42d4e2987d59c76d5749",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2025-09-02T19:04:45Z",
    "title_canon_sha256": "dbe13de856839330489354d0564d4da32eb544295320eced4d4ea5988004393c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.02758",
    "kind": "arxiv",
    "version": 3
  }
}