Pith Number

pith:XAKQRNLV

pith:2026:XAKQRNLVZ2IFSPEGM5BOJUGPY4

not attested not anchored not stored refs pending

Automated Proving of Shannon-Type Entropy Inequalities via Fine-Tuned Language Models and Guided Tree Search

Amin Gohari, Cheuk Ting Li, Linqi Song, Shaocheng Liu, Shing Yin Wong

arxiv:2606.05729 v1 · 2026-06-04 · cs.IT · cs.LG · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XAKQRNLVZ2IFSPEGM5BOJUGPY4}

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	2026-06-05T01:15:00.914957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b81508b575ce90593c866742e4d0cfc70eb730124ca83979875c62d6e80694be

Aliases

arxiv: 2606.05729 · arxiv_version: 2606.05729v1 · doi: 10.48550/arxiv.2606.05729 · pith_short_12: XAKQRNLVZ2IF · pith_short_16: XAKQRNLVZ2IFSPEG · pith_short_8: XAKQRNLV

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/XAKQRNLVZ2IFSPEGM5BOJUGPY4 \
  | 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: b81508b575ce90593c866742e4d0cfc70eb730124ca83979875c62d6e80694be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e98a346af059b162ab7d90a4a7c20b6a7d2facf8b4ec1be7ce57f5251e3765d1",
    "cross_cats_sorted": [
      "cs.LG",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-06-04T05:43:12Z",
    "title_canon_sha256": "57a15fca5d8568a708be22c8605704445b67ad8ffb052c7704f32ef5924ea676"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05729",
    "kind": "arxiv",
    "version": 1
  }
}