Pith Number

pith:2KRA6PUK

pith:2017:2KRA6PUKUEQFMBX2HNC3EOKQHJ

not attested not anchored not stored refs pending

Multiple positive solutions for a class of p-Laplacian Neumann problems without growth conditions

Alberto Boscaggin, Benedetta Noris, Francesca Colasuonno

arxiv:1703.05727 v1 · 2017-03-16 · 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{2KRA6PUKUEQFMBX2HNC3EOKQHJ}

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	2026-05-18T00:48:33.533720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2a20f3e8aa1205606fa3b45b239503a6c74042341d0afb28ec052579dc6e67d

Aliases

arxiv: 1703.05727 · arxiv_version: 1703.05727v1 · doi: 10.48550/arxiv.1703.05727 · pith_short_12: 2KRA6PUKUEQF · pith_short_16: 2KRA6PUKUEQFMBX2 · pith_short_8: 2KRA6PUK

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/2KRA6PUKUEQFMBX2HNC3EOKQHJ \
  | 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: d2a20f3e8aa1205606fa3b45b239503a6c74042341d0afb28ec052579dc6e67d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f413b32837cbab9e1a73116bfe3f59138ff0c451a45273a58c5855b07862c6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-16T17:13:27Z",
    "title_canon_sha256": "afd64f1fb00ee182f23ea036cda9b8f22f3a6cbe517b4d6962f5f7cab855d0bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05727",
    "kind": "arxiv",
    "version": 1
  }
}