Pith Number

pith:CQ7OCGO2

pith:2018:CQ7OCGO22OQN2ZNS4EL2A25VWA

not attested not anchored not stored refs pending

Existence and Morse Index of least energy nodal solution of the $(p,2)$-laplacian

Carlos Velez, Daniel Restrepo, Oscar Agudelo

arxiv:1812.02389 v1 · 2018-12-06 · 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{CQ7OCGO22OQN2ZNS4EL2A25VWA}

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	2026-05-17T23:58:56.435279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

143ee119dad3a0dd65b2e117a06bb5b028ce6c96eb65b86a0272292a41102a72

Aliases

arxiv: 1812.02389 · arxiv_version: 1812.02389v1 · doi: 10.48550/arxiv.1812.02389 · pith_short_12: CQ7OCGO22OQN · pith_short_16: CQ7OCGO22OQN2ZNS · pith_short_8: CQ7OCGO2

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/CQ7OCGO22OQN2ZNS4EL2A25VWA \
  | 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: 143ee119dad3a0dd65b2e117a06bb5b028ce6c96eb65b86a0272292a41102a72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51c552cf5146c30b51b0794984628f6d83a0d0e191abe9b739890b8fa1e1be40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-06T07:41:44Z",
    "title_canon_sha256": "aa0f3f6d1e4408ebd014d2ed02a205215d17f77ba560ae4157b1c9a17539b00a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.02389",
    "kind": "arxiv",
    "version": 1
  }
}