Pith Number

pith:4DVFGKQD

pith:2016:4DVFGKQDXAA6K7YTFGQM7TSJ2E

not attested not anchored not stored refs pending

Existence and multiplicity results for boundary value problems connected with the discrete p(.)-Laplacian on weighted finite graphs

Marek Galewski, Renata Wieteska

arxiv:1605.09412 v1 · 2016-05-30 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4DVFGKQDXAA6K7YTFGQM7TSJ2E}

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	2026-05-18T01:13:17.398922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0ea532a03b801e57f1329a0cfce49d114648858c161aeb9848191b2230f3dab

Aliases

arxiv: 1605.09412 · arxiv_version: 1605.09412v1 · doi: 10.48550/arxiv.1605.09412 · pith_short_12: 4DVFGKQDXAA6 · pith_short_16: 4DVFGKQDXAA6K7YT · pith_short_8: 4DVFGKQD

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/4DVFGKQDXAA6K7YTFGQM7TSJ2E \
  | 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: e0ea532a03b801e57f1329a0cfce49d114648858c161aeb9848191b2230f3dab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f51a038c2a7428ff779e590f51ae43d5c8839bde72878a95ef9e91f98a43d76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-05-30T20:52:14Z",
    "title_canon_sha256": "749be3d34e9ce4f1f421167ae146f2fc727bb205b60700ba677d31e86175301d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09412",
    "kind": "arxiv",
    "version": 1
  }
}