Pith Number

pith:SB3BRBFZ

pith:2017:SB3BRBFZE7MUYAESMLGSLE6PCT

not attested not anchored not stored refs pending

Poincare Inequalities and Neumann Problems for the p-Laplacian

David Cruz-Uribe (OFS), Emily Rosta, Scott Rodney

arxiv:1708.03932 v1 · 2017-08-13 · 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{SB3BRBFZE7MUYAESMLGSLE6PCT}

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	2026-05-18T00:38:07.482403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90761884b927d94c009262cd2593cf14ff8cc67a24f04fda864dea6c79f9b232

Aliases

arxiv: 1708.03932 · arxiv_version: 1708.03932v1 · doi: 10.48550/arxiv.1708.03932 · pith_short_12: SB3BRBFZE7MU · pith_short_16: SB3BRBFZE7MUYAES · pith_short_8: SB3BRBFZ

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/SB3BRBFZE7MUYAESMLGSLE6PCT \
  | 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: 90761884b927d94c009262cd2593cf14ff8cc67a24f04fda864dea6c79f9b232

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45c414983a48c45fcf743d926ba8da5aeeb3775359857ed30f037cb56913d5dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-13T16:53:14Z",
    "title_canon_sha256": "6fe9add91d6249b69b239ecf194b940036730c29953d4ade132cebc63021de16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03932",
    "kind": "arxiv",
    "version": 1
  }
}