Pith Number

pith:HKG635MS

pith:2025:HKG635MSS6JPIHNPF7DTH4WSPS

not attested not anchored not stored refs pending

Maximal estimates for orthonormal systems of wave equations with sharp regularity

Hyerim Ko, Sanghyuk Lee, Shobu Shiraki

arxiv:2508.19451 v1 · 2025-08-26 · math.AP · 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{HKG635MSS6JPIHNPF7DTH4WSPS}

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	2026-07-05T12:00:11.761115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a8dedf5929792f41daf2fc733f2d27caeaba651886f3a76e04ad73b7563cb9f

Aliases

arxiv: 2508.19451 · arxiv_version: 2508.19451v1 · doi: 10.48550/arxiv.2508.19451 · pith_short_12: HKG635MSS6JP · pith_short_16: HKG635MSS6JPIHNP · pith_short_8: HKG635MS

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/HKG635MSS6JPIHNPF7DTH4WSPS \
  | 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: 3a8dedf5929792f41daf2fc733f2d27caeaba651886f3a76e04ad73b7563cb9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69ea1222e0900cc6e4f1564510d26ffc902fe84e18dc92aac3317817ba77bd9c",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-08-26T21:56:31Z",
    "title_canon_sha256": "5c770bd5cc8c66d56345def592c94feef7e31733ffa93054931a79bc8d87277d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.19451",
    "kind": "arxiv",
    "version": 1
  }
}