Pith Number

pith:IFEFO6UN

pith:2024:IFEFO6UNUWYYIR7RRAAEY6BNLX

not attested not anchored not stored refs pending

H\"{o}lder regularity and Liouville Theorem for the Schr\"{o}dinger equation with certain critical potentials, and applications to Dirichlet problems

Bo Li, Ji Li, Liangchuan Wu

arxiv:2410.03418 v1 · 2024-10-04 · 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{IFEFO6UNUWYYIR7RRAAEY6BNLX}

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	2026-07-05T09:16:00.767980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4148577a8da5b18447f188004c782d5dcff2ea8433f0f0b4b6001e57dfefb368

Aliases

arxiv: 2410.03418 · arxiv_version: 2410.03418v1 · doi: 10.48550/arxiv.2410.03418 · pith_short_12: IFEFO6UNUWYY · pith_short_16: IFEFO6UNUWYYIR7R · pith_short_8: IFEFO6UN

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/IFEFO6UNUWYYIR7RRAAEY6BNLX \
  | 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: 4148577a8da5b18447f188004c782d5dcff2ea8433f0f0b4b6001e57dfefb368

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0192151e4e453916af241bf74e98c059775dec888291f27aa280dc3ece4cda2",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-10-04T13:27:56Z",
    "title_canon_sha256": "14e0549efc4def8ab07e1013074f81fe0ed55c87a287979eeed73196e8ee10e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.03418",
    "kind": "arxiv",
    "version": 1
  }
}