Pith Number

pith:I47QEGCL

pith:2026:I47QEGCLI5NQU7NFJA76M24PS4

not attested not anchored not stored refs pending

Geometric Measurements of the Axiom of Choice in Neural Proof Embeddings

Rodrigo Mendoza-Smith

arxiv:2606.28572 v1 · 2026-06-26 · cs.LG · cs.AI · cs.LO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I47QEGCLI5NQU7NFJA76M24PS4}

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	2026-06-30T00:15:19.532933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

473f02184b475b0a7da5483fe66b8f9707baa02d6a0382d51b0f1ecbc0b45a0e

Aliases

arxiv: 2606.28572 · arxiv_version: 2606.28572v1 · doi: 10.48550/arxiv.2606.28572 · pith_short_12: I47QEGCLI5NQ · pith_short_16: I47QEGCLI5NQU7NF · pith_short_8: I47QEGCL

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/I47QEGCLI5NQU7NFJA76M24PS4 \
  | 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: 473f02184b475b0a7da5483fe66b8f9707baa02d6a0382d51b0f1ecbc0b45a0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4f45dcf9f0a15dfe9a8576e119fa41d06a7c04928c5312f17d03b45a9a76eee",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LO",
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-26T19:57:00Z",
    "title_canon_sha256": "5551a1cf072b5680a8c932f9c5768ef9096a6b437ad80db54cd7108deebb0c51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28572",
    "kind": "arxiv",
    "version": 1
  }
}