Pith Number

pith:WG52Y4LP

pith:2025:WG52Y4LP3B3XRXQVPWKXDG235M

not attested not anchored not stored refs pending

Testing Transformer Learnability on the Arithmetic Sequence of Rooted Trees

Alessandro Breccia, Federica Gerace, Gabriele Sicuro, Marco Lippi, Pierluigi Contucci

arxiv:2512.01870 v2 · 2025-12-01 · cs.AI · cond-mat.dis-nn · math-ph · math.MP · 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{WG52Y4LP3B3XRXQVPWKXDG235M}

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	2026-08-04T01:58:10.125968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1bbac716fd87778de157d95719b5beb3974f4f370a834346a7f167ff53be7bc

Aliases

arxiv: 2512.01870 · arxiv_version: 2512.01870v2 · doi: 10.48550/arxiv.2512.01870 · pith_short_12: WG52Y4LP3B3X · pith_short_16: WG52Y4LP3B3XRXQV · pith_short_8: WG52Y4LP

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/WG52Y4LP3B3XRXQVPWKXDG235M \
  | 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: b1bbac716fd87778de157d95719b5beb3974f4f370a834346a7f167ff53be7bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6866c4fe7e8853ef1bfd31ab1834db32cfdf33c02d0d04835d059250defa4f4",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2025-12-01T16:51:38Z",
    "title_canon_sha256": "5a4011a3c907f7fa4b2a6df4388ac1979ef55e57009e4a4264d8c082a8005824"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.01870",
    "kind": "arxiv",
    "version": 2
  }
}