Pith Number

pith:TJSBBGK7

pith:2020:TJSBBGK7QQQ7NI7D7UT4WYANLQ

not attested not anchored not stored refs pending

Unique continuation for the gradient of eigenfunctions and Wegner estimates for random divergence-type operators

Alexander Dicke, Ivan Veselic

arxiv:2003.09849 v2 · 2020-03-22 · math.FA · math.AP · 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{TJSBBGK7QQQ7NI7D7UT4WYANLQ}

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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

Sampling and equidistribution theorems for elliptic second order operators, lifting of eigenvalues, and applications

Receipt and verification

First computed	2026-07-05T07:09:41.022708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a6410995f8421f6a3e3fd27cb600d5c3e40a63668f72d6e2bc744cf09e65b97

Aliases

arxiv: 2003.09849 · arxiv_version: 2003.09849v2 · doi: 10.48550/arxiv.2003.09849 · pith_short_12: TJSBBGK7QQQ7 · pith_short_16: TJSBBGK7QQQ7NI7D · pith_short_8: TJSBBGK7

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/TJSBBGK7QQQ7NI7D7UT4WYANLQ \
  | 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: 9a6410995f8421f6a3e3fd27cb600d5c3e40a63668f72d6e2bc744cf09e65b97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ea1e997bf8c5d31119ccd20834f611d85e0473f2e9be11f4573b410b625cdbe",
    "cross_cats_sorted": [
      "math.AP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-03-22T10:06:10Z",
    "title_canon_sha256": "883fc6613a548ad0bef006e59e1513b0b73f6efc0e11c75f374753164d14c759"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.09849",
    "kind": "arxiv",
    "version": 2
  }
}