Pith Number

pith:6ZMNLVDG

pith:2019:6ZMNLVDGQLGE7TVPO2SHDLYMTE

not attested not anchored not stored refs pending

Existence of solution for a class of problem in whole $\mathbb{R}^N$ without the Ambrosetti-Rabinowitz condition

Claudianor O. Alves, Marco A.S. Souto

arxiv:1906.09927 v1 · 2019-06-24 · 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{6ZMNLVDGQLGE7TVPO2SHDLYMTE}

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	2026-05-17T23:42:36.122395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f658d5d46682cc4fceaf76a471af0c99255b3486649832e9de156b57dba312a6

Aliases

arxiv: 1906.09927 · arxiv_version: 1906.09927v1 · doi: 10.48550/arxiv.1906.09927 · pith_short_12: 6ZMNLVDGQLGE · pith_short_16: 6ZMNLVDGQLGE7TVP · pith_short_8: 6ZMNLVDG

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/6ZMNLVDGQLGE7TVPO2SHDLYMTE \
  | 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: f658d5d46682cc4fceaf76a471af0c99255b3486649832e9de156b57dba312a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdf3e087243627ca3bed0e4825c36f614cebeae9efd7fe74f5b79fbdf5f6a2f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-24T13:15:11Z",
    "title_canon_sha256": "b2e7982de7b72765150f1c56b4e439ace9e05c7b438fffffe9d5cb8a33f0aa7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09927",
    "kind": "arxiv",
    "version": 1
  }
}