Pith Number

pith:55RXND5Z

pith:2018:55RXND5ZCB3WGMUXXAZDA64HZV

not attested not anchored not stored refs pending

On the fractional regularity for degenerate equations with $(p,q)$-growth

Adilson E. Presoto, Lu\'is H. de Miranda

arxiv:1806.07231 v3 · 2018-06-19 · 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{55RXND5ZCB3WGMUXXAZDA64HZV}

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	2026-05-18T00:07:49.201988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef63768fb91077633297b832307b87cd6414a67d08d0bffde3a6ee9a9a8195e6

Aliases

arxiv: 1806.07231 · arxiv_version: 1806.07231v3 · doi: 10.48550/arxiv.1806.07231 · pith_short_12: 55RXND5ZCB3W · pith_short_16: 55RXND5ZCB3WGMUX · pith_short_8: 55RXND5Z

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/55RXND5ZCB3WGMUXXAZDA64HZV \
  | 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: ef63768fb91077633297b832307b87cd6414a67d08d0bffde3a6ee9a9a8195e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2920bd17d3b07c7c267d7d886c441f5803bad9b1d732758c6f5a2cc4784efea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-19T13:47:12Z",
    "title_canon_sha256": "308d371c4cd87ed1037de8c29e66d92d4dae87379907e68a1cbf06081412f18a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07231",
    "kind": "arxiv",
    "version": 3
  }
}