Pith Number

pith:CQNZ25I5

pith:2012:CQNZ25I5ICFDOSUS5MISZDSWW3

not attested not anchored not stored refs pending

Existence of Three Positive Solutions to Some $p$-Laplacian Boundary Value Problems

Delfim F. M. Torres, Moulay Rchid Sidi Ammi

arxiv:1210.5351 v1 · 2012-10-19 · 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{CQNZ25I5ICFDOSUS5MISZDSWW3}

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	2026-05-18T03:34:48.042339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

141b9d751d408a374a92eb112c8e56b6f34a67c883d30c7ac3ec200281591ec3

Aliases

arxiv: 1210.5351 · arxiv_version: 1210.5351v1 · doi: 10.48550/arxiv.1210.5351 · pith_short_12: CQNZ25I5ICFD · pith_short_16: CQNZ25I5ICFDOSUS · pith_short_8: CQNZ25I5

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/CQNZ25I5ICFDOSUS5MISZDSWW3 \
  | 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: 141b9d751d408a374a92eb112c8e56b6f34a67c883d30c7ac3ec200281591ec3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1db55bde9a2d5854b50e17c83a88f110ac589d785db1a03cf93092c736f0bb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-19T09:19:58Z",
    "title_canon_sha256": "a6a097e77f19dfb6f5a3e91dd4c87100e3b39362bb2a858b9347ba214e51c7ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5351",
    "kind": "arxiv",
    "version": 1
  }
}