Pith Number

pith:GZ2W7U7Y

pith:2026:GZ2W7U7YEM7WTSEZBKI35QP2T4

not attested not anchored not stored refs pending

Machine learning the arithmetic of Boyd's Mahler measure conjectures

Alberto Alfarano, Berend Ringeling, Matilde N. Lal\'{\i}n, Pablo Bianucci

arxiv:2608.00615 v1 · 2026-08-01 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZ2W7U7YEM7WTSEZBKI35QP2T4}

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	2026-08-04T00:38:05.498829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36756fd3f8233f69c8990a91bec1fa9f34341de00edc42876ad0ebd70d80a5f5

Aliases

arxiv: 2608.00615 · arxiv_version: 2608.00615v1 · doi: 10.48550/arxiv.2608.00615 · pith_short_12: GZ2W7U7YEM7W · pith_short_16: GZ2W7U7YEM7WTSEZ · pith_short_8: GZ2W7U7Y

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/GZ2W7U7YEM7WTSEZBKI35QP2T4 \
  | 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: 36756fd3f8233f69c8990a91bec1fa9f34341de00edc42876ad0ebd70d80a5f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e7b8a7c18fef43daf8d0451cc3b77afcc1761cbf227850bcb91834e93e845fa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-08-01T12:11:05Z",
    "title_canon_sha256": "de3a01372837d23fe59e48a55b075e67d91bb4cd85fcea7f76c73e8ad879e485"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00615",
    "kind": "arxiv",
    "version": 1
  }
}