Pith Number

pith:YM5ZGCBI

pith:2024:YM5ZGCBIY37PC6QBQU7FVZSK4A

not attested not anchored not stored refs pending

Quantitative propagation of smallness and spectral estimates for the Schr\"odinger operator

J\'er\'emy Martin, K\'evin Le Balc'h

arxiv:2403.15299 v1 · 2024-03-22 · math.AP · math.OC · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YM5ZGCBIY37PC6QBQU7FVZSK4A}

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.

Cited by

1 paper in Pith

Observability inequality, log-type Hausdorff content and heat equations

Receipt and verification

First computed	2026-07-05T07:59:32.949620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c33b930828c6fef17a01853e5ae64ae038d1a962b7bcf9aad97c40f80baabb39

Aliases

arxiv: 2403.15299 · arxiv_version: 2403.15299v1 · doi: 10.48550/arxiv.2403.15299 · pith_short_12: YM5ZGCBIY37P · pith_short_16: YM5ZGCBIY37PC6QB · pith_short_8: YM5ZGCBI

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/YM5ZGCBIY37PC6QBQU7FVZSK4A \
  | 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: c33b930828c6fef17a01853e5ae64ae038d1a962b7bcf9aad97c40f80baabb39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b27df067250fdc36b39579c129e8ff38ab8d24ae807289306c6615c7b21bb254",
    "cross_cats_sorted": [
      "math.OC",
      "math.SP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-03-22T15:50:13Z",
    "title_canon_sha256": "6b5f1c5187762019efce6602743b267662c7c2e6bb9edd15888e8c12644447a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.15299",
    "kind": "arxiv",
    "version": 1
  }
}