Pith Number

pith:NRU2TA4I

pith:2016:NRU2TA4I5UQ5AV5MCOAMMCC4IV

not attested not anchored not stored refs pending

Existence of solutions to degenerate parabolic problems with two weights via the Hardy inequality

Anna Zatorska-Goldstein, Iwona Skrzypczak

arxiv:1611.02125 v1 · 2016-11-07 · 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{NRU2TA4I5UQ5AV5MCOAMMCC4IV}

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	2026-05-17T23:46:31.290196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c69a98388ed21d057ac1380c6085c4575443a222712c1c876c3b1febc2ebcad

Aliases

arxiv: 1611.02125 · arxiv_version: 1611.02125v1 · doi: 10.48550/arxiv.1611.02125 · pith_short_12: NRU2TA4I5UQ5 · pith_short_16: NRU2TA4I5UQ5AV5M · pith_short_8: NRU2TA4I

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/NRU2TA4I5UQ5AV5MCOAMMCC4IV \
  | 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: 6c69a98388ed21d057ac1380c6085c4575443a222712c1c876c3b1febc2ebcad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bbac47dc90f7c5e36f84d5309aa0c5384090e6d9b6eed04ab6e89548dfb8986",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-07T15:46:52Z",
    "title_canon_sha256": "f27d7d181eb66b6b47f97ed21d244d69a24eb9aff951307e85b347655966f82b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02125",
    "kind": "arxiv",
    "version": 1
  }
}