Pith Number

pith:T7E33GQM

pith:2015:T7E33GQMEZ3DS2UJBAFZU5QTOU

not attested not anchored not stored refs pending

Generalized spectrum of the $\boldsymbol{(p,2)}$-Laplacian under a parametric boundary condition

Gustavo Madeira, Jamil Abreu

arxiv:1507.03299 v2 · 2015-07-13 · 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{T7E33GQMEZ3DS2UJBAFZU5QTOU}

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	2026-05-18T01:18:25.376457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fc9bd9a0c2676396a89080b9a7613752fbdd29d07589983a2401f51f273d46c

Aliases

arxiv: 1507.03299 · arxiv_version: 1507.03299v2 · doi: 10.48550/arxiv.1507.03299 · pith_short_12: T7E33GQMEZ3D · pith_short_16: T7E33GQMEZ3DS2UJ · pith_short_8: T7E33GQM

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/T7E33GQMEZ3DS2UJBAFZU5QTOU \
  | 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: 9fc9bd9a0c2676396a89080b9a7613752fbdd29d07589983a2401f51f273d46c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "636d2f3300622b9d3e22d64ec033bfd6fda7b40815257b2366b3c0b03fc93a7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-13T00:45:50Z",
    "title_canon_sha256": "19b8f1013358dc7b429dedc5ebd87c74a0b7426aa301d73dec29a955d23908e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03299",
    "kind": "arxiv",
    "version": 2
  }
}