Pith Number

pith:PJJIE2VH

pith:2015:PJJIE2VHYJCTLF5H2ISTJ65I5Y

not attested not anchored not stored refs pending

$L^p$ resolvent estimates for magnetic Schr\"odinger operators with unbounded background fields

Carlos Kenig, Jean-Claude Cuenin

arxiv:1510.00066 v2 · 2015-09-30 · math.AP · math-ph · math.MP · 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{PJJIE2VHYJCTLF5H2ISTJ65I5Y}

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	2026-05-18T01:10:59.823208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a52826aa7c2453597a7d22534fba8ee0e6caf5af1622ce0435313e9a53c4c26

Aliases

arxiv: 1510.00066 · arxiv_version: 1510.00066v2 · doi: 10.48550/arxiv.1510.00066 · pith_short_12: PJJIE2VHYJCT · pith_short_16: PJJIE2VHYJCTLF5H · pith_short_8: PJJIE2VH

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/PJJIE2VHYJCTLF5H2ISTJ65I5Y \
  | 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: 7a52826aa7c2453597a7d22534fba8ee0e6caf5af1622ce0435313e9a53c4c26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dc66169245a180774966eff31135b8e6eed98559fae1813abd05168fb8d4ddc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-30T22:51:51Z",
    "title_canon_sha256": "4a2628b46ae5a8229cb80db97d2b5cd237d1d00497f3fc1e0d66945a75256208"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00066",
    "kind": "arxiv",
    "version": 2
  }
}