Pith Number

pith:BXLF7QLX

pith:2019:BXLF7QLXQAR4PAV72VARACXO7R

not attested not anchored not stored refs pending

$L^{p}-L^{p^{\prime}}$ estimates for matrix Schr\"{o}dinger equations

Ivan Naumkin, Ricardo Weder

arxiv:1906.07846 v2 · 2019-06-18 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BXLF7QLXQAR4PAV72VARACXO7R}

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	2026-07-05T03:09:42.205088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dd65fc1778023c782bfd541100aeefc76efecf2053416495aedecca3eb72a78

Aliases

arxiv: 1906.07846 · arxiv_version: 1906.07846v2 · doi: 10.48550/arxiv.1906.07846 · pith_short_12: BXLF7QLXQAR4 · pith_short_16: BXLF7QLXQAR4PAV7 · pith_short_8: BXLF7QLX

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/BXLF7QLXQAR4PAV72VARACXO7R \
  | 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: 0dd65fc1778023c782bfd541100aeefc76efecf2053416495aedecca3eb72a78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e239feea236d0faa67ac3282f70d849cda15af29fcff61d271798ff668294036",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-06-18T23:32:18Z",
    "title_canon_sha256": "1a253a7566adbf255dcf1203bed7f834a30f1ea1c715631b230a9b8c553524d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07846",
    "kind": "arxiv",
    "version": 2
  }
}