Pith Number

pith:GNPEPWN2

pith:2015:GNPEPWN2RSZMK23FCXPGNUM76G

not attested not anchored not stored refs pending

An $L_q(L_p)$-theory for parabolic pseudo-differential equations: Calder\'on-Zygmund approach

Ildoo Kim, Kyeong-Hun Kim, Sungbin Lim

arxiv:1503.04521 v1 · 2015-03-16 · 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{GNPEPWN2RSZMK23FCXPGNUM76G}

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	2026-05-18T02:23:24.764249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

335e47d9ba8cb2c56b6515de66d19ff1a5b0ef69cecebc335610ad0c4399ed97

Aliases

arxiv: 1503.04521 · arxiv_version: 1503.04521v1 · doi: 10.48550/arxiv.1503.04521 · pith_short_12: GNPEPWN2RSZM · pith_short_16: GNPEPWN2RSZMK23F · pith_short_8: GNPEPWN2

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/GNPEPWN2RSZMK23FCXPGNUM76G \
  | 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: 335e47d9ba8cb2c56b6515de66d19ff1a5b0ef69cecebc335610ad0c4399ed97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebcca5bf0e7703bcf9489333dedcbc52713706aaef9881445e8ecf73c55769d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-16T04:42:22Z",
    "title_canon_sha256": "b023099121b97699394465b23b72d721bdc47395fd8de763ec47720cd4dcf5a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04521",
    "kind": "arxiv",
    "version": 1
  }
}