Pith Number

pith:CU3PNKK3

pith:2025:CU3PNKK3BDDUUSAUECHT2PE3BR

not attested not anchored not stored refs pending

Weyl laws for exponentially small singular values of the $\overline{\partial}$ operator

Johannes Sj\"ostrand, Martin Vogel, Michael Hitrik

arxiv:2505.07292 v3 · 2025-05-12 · math.SP · math.AP · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CU3PNKK3BDDUUSAUECHT2PE3BR}

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	2026-06-25T00:18:11.115147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1536f6a95b08c74a4814208f3d3c9b0c6f1b03b045141ea119f5d56a39d6e20f

Aliases

arxiv: 2505.07292 · arxiv_version: 2505.07292v3 · doi: 10.48550/arxiv.2505.07292 · pith_short_12: CU3PNKK3BDDU · pith_short_16: CU3PNKK3BDDUUSAU · pith_short_8: CU3PNKK3

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/CU3PNKK3BDDUUSAUECHT2PE3BR \
  | 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: 1536f6a95b08c74a4814208f3d3c9b0c6f1b03b045141ea119f5d56a39d6e20f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6bc53d94fccf5475a715391adfa78cd7bcce80c1db45c87526d4fa119be762d",
    "cross_cats_sorted": [
      "math.AP",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2025-05-12T07:25:34Z",
    "title_canon_sha256": "f24fe8f83f0aaca32f318d22dc6c1ca1dbc3d9d07ffd30a15fee393a57404272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.07292",
    "kind": "arxiv",
    "version": 3
  }
}