Pith Number

pith:EN45G7WO

pith:2025:EN45G7WOXUWE2YP2Q56VN5QUOK

not attested not anchored not stored refs pending

On the Averaging Problem of Ideal Families Related to Frankl's Conjecture with Formal Proof by Lean 4

Kenji Kashiwabara, Masahiro Hachimori

arxiv:2504.13454 v1 · 2025-04-18 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EN45G7WOXUWE2YP2Q56VN5QUOK}

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	2026-07-05T10:50:55.117271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2379d37ecebd2c4d61fa877d56f61472a93cfb7a5d3d437f9a5a7f4a0571e99f

Aliases

arxiv: 2504.13454 · arxiv_version: 2504.13454v1 · doi: 10.48550/arxiv.2504.13454 · pith_short_12: EN45G7WOXUWE · pith_short_16: EN45G7WOXUWE2YP2 · pith_short_8: EN45G7WO

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/EN45G7WOXUWE2YP2Q56VN5QUOK \
  | 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: 2379d37ecebd2c4d61fa877d56f61472a93cfb7a5d3d437f9a5a7f4a0571e99f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85661dc15073a77dca73f4bf8c773d31f670b89d663a94e2874479eb3cb4a7cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-04-18T04:12:43Z",
    "title_canon_sha256": "f53ca09d711adccb03222f76e8518935d2a6e92ac5daee41d89177d9d5e47a8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.13454",
    "kind": "arxiv",
    "version": 1
  }
}