Pith Number

pith:HO5TGQVR

pith:2019:HO5TGQVR2YGFSJ2EKDEBUUF56K

not attested not anchored not stored refs pending

On the extreme value of the Nehari manifold method for a class of Schr\"{o}dinger equations with indefinite weight functions

Jos\'e Carlos de Albuquerque, Kaye Silva

arxiv:1907.09240 v1 · 2019-07-22 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HO5TGQVR2YGFSJ2EKDEBUUF56K}

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	2026-05-17T23:39:59.750750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bbb3342b1d60c59274450c81a50bdf2827c1492fb1db3d1341a7c4bbfccd15c

Aliases

arxiv: 1907.09240 · arxiv_version: 1907.09240v1 · doi: 10.48550/arxiv.1907.09240 · pith_short_12: HO5TGQVR2YGF · pith_short_16: HO5TGQVR2YGFSJ2E · pith_short_8: HO5TGQVR

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/HO5TGQVR2YGFSJ2EKDEBUUF56K \
  | 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: 3bbb3342b1d60c59274450c81a50bdf2827c1492fb1db3d1341a7c4bbfccd15c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12dbfd9c181fee2cff34f8be0c545336e3e6554bdd63b3c973cc397e1b558ae4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-22T11:31:26Z",
    "title_canon_sha256": "9b0e25248b2a147993353026863be692b4e7adf4718cfe349b2adc743890565c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09240",
    "kind": "arxiv",
    "version": 1
  }
}