Pith Number

pith:576HOQ7M

pith:2026:576HOQ7MIAPGZHYJUDPAEQU2L6

not attested not anchored not stored refs pending

A Priori Regularity Estimates for Ratio of Solutions to Elliptic Equations with a Product Structure of Two-Dimensional Nodal Sets

Gabriele Fioravanti

arxiv:2605.23666 v1 · 2026-05-22 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{576HOQ7MIAPGZHYJUDPAEQU2L6}

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	2026-05-25T02:02:24.994723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

effc7743ec401e6c9f09a0de02429a5f92de569da5ed1d25b438a28638a8c6c2

Aliases

arxiv: 2605.23666 · arxiv_version: 2605.23666v1 · doi: 10.48550/arxiv.2605.23666 · pith_short_12: 576HOQ7MIAPG · pith_short_16: 576HOQ7MIAPGZHYJ · pith_short_8: 576HOQ7M

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/576HOQ7MIAPGZHYJUDPAEQU2L6 \
  | 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: effc7743ec401e6c9f09a0de02429a5f92de569da5ed1d25b438a28638a8c6c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa96dbcd37187e9d0abd4f54eabfea91c3cb84d0e2139c920cf7855d0565109a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-22T14:14:43Z",
    "title_canon_sha256": "67537caf04a2baec46eb1dfe78f5e2f9fd5fc78bdce583aa6defe62ad81a9e21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23666",
    "kind": "arxiv",
    "version": 1
  }
}