Pith Number

pith:CFTONBFR

pith:2018:CFTONBFRJ3JJZZIZ4HESN7KN3L

not attested not anchored not stored refs pending

Global L^r-estimates and regularizing effect for solutions to the p(t, x) -Laplacian systems

Francesca Crispo, Michael Ruzicka, Paolo Maremonti

arxiv:1806.05428 v1 · 2018-06-14 · 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{CFTONBFRJ3JJZZIZ4HESN7KN3L}

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	2026-05-18T00:13:15.983465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1166e684b14ed29ce519e1c926fd4ddaeba7c69b541a74f1a1316ee4de4b3104

Aliases

arxiv: 1806.05428 · arxiv_version: 1806.05428v1 · doi: 10.48550/arxiv.1806.05428 · pith_short_12: CFTONBFRJ3JJ · pith_short_16: CFTONBFRJ3JJZZIZ · pith_short_8: CFTONBFR

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/CFTONBFRJ3JJZZIZ4HESN7KN3L \
  | 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: 1166e684b14ed29ce519e1c926fd4ddaeba7c69b541a74f1a1316ee4de4b3104

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11be466bc6756c26e1e2b7b14b476e332640bd1c328ad005e49b3984c59540cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-14T09:23:53Z",
    "title_canon_sha256": "fa0d5754ea0734a9e30e546ed367196c88b19366c68eeeb661993edb9cc500b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.05428",
    "kind": "arxiv",
    "version": 1
  }
}