Pith Number

pith:QAYZRT4C

pith:2026:QAYZRT4CYDN33OQXAR63KMSB3D

not attested not anchored not stored refs pending

Pointwise Convergence of Schr\"{o}dinger Operators in Bessel Potential Spaces

Jiheng Tan, Wenchang Sun, Yucheng Pan

arxiv:2605.25833 v1 · 2026-05-25 · 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{QAYZRT4CYDN33OQXAR63KMSB3D}

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	2026-05-26T02:05:14.369869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

803198cf82c0dbbdba17047db53241d8c7eb9b0c637591376d74861b71b0ce15

Aliases

arxiv: 2605.25833 · arxiv_version: 2605.25833v1 · doi: 10.48550/arxiv.2605.25833 · pith_short_12: QAYZRT4CYDN3 · pith_short_16: QAYZRT4CYDN33OQX · pith_short_8: QAYZRT4C

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/QAYZRT4CYDN33OQXAR63KMSB3D \
  | 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: 803198cf82c0dbbdba17047db53241d8c7eb9b0c637591376d74861b71b0ce15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e5bb6c3bfda30933fb5df096103dc8c6a4b479cd42751d33d297456e47215bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-25T13:29:54Z",
    "title_canon_sha256": "71ed4e355e2a0199528eb58b6422f793b8d5cad2406239cf3b14a1872b61073f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25833",
    "kind": "arxiv",
    "version": 1
  }
}