Pith Number

pith:HBNYXE7B

pith:2025:HBNYXE7BHLLAPTKSF7BDQMYU2I

not attested not anchored not stored refs pending

The optimal bound $e$ in a dyadic version of Uchiyama's Lemma

J. Fladung, S. Petermichl

arxiv:2509.09491 v1 · 2025-09-11 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HBNYXE7BHLLAPTKSF7BDQMYU2I}

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	2026-07-05T12:09:36.997801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

385b8b93e13ad607cd522fc2383314d232cc00fa4348b2988df77b43ba1065a0

Aliases

arxiv: 2509.09491 · arxiv_version: 2509.09491v1 · doi: 10.48550/arxiv.2509.09491 · pith_short_12: HBNYXE7BHLLA · pith_short_16: HBNYXE7BHLLAPTKS · pith_short_8: HBNYXE7B

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/HBNYXE7BHLLAPTKSF7BDQMYU2I \
  | 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: 385b8b93e13ad607cd522fc2383314d232cc00fa4348b2988df77b43ba1065a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a2dccbec1ca3094baae6fd29897021753b174bbcea376166c2781c0cbc547c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-09-11T14:28:01Z",
    "title_canon_sha256": "4360b4ef2d7e7f564d9a6d756b188618a88c4cb0073bb2627ab65f0eac699764"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.09491",
    "kind": "arxiv",
    "version": 1
  }
}