Pith Number

pith:OH5MFLZS

pith:2018:OH5MFLZSFQDPGIJTG3DOUZ3PJP

not attested not anchored not stored refs pending

On the $L^p$-$L^q$ estimates of the gradient of solutions to the Stokes problem

Paolo Maremonti

arxiv:1808.02717 v3 · 2018-08-08 · 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{OH5MFLZSFQDPGIJTG3DOUZ3PJP}

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	2026-05-18T00:06:37.138080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71fac2af322c06f3213336c6ea676f4bfe86f5672049c1131815aa601681625f

Aliases

arxiv: 1808.02717 · arxiv_version: 1808.02717v3 · doi: 10.48550/arxiv.1808.02717 · pith_short_12: OH5MFLZSFQDP · pith_short_16: OH5MFLZSFQDPGIJT · pith_short_8: OH5MFLZS

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/OH5MFLZSFQDPGIJTG3DOUZ3PJP \
  | 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: 71fac2af322c06f3213336c6ea676f4bfe86f5672049c1131815aa601681625f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbac8b4b9d987f4c6db38f557fc28cd87c4c8c5c3c84db0aaa2c944757c13bd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-08T10:43:32Z",
    "title_canon_sha256": "7a6820b1c9b49a55033acf475495f5927bc56c36b3a6d6066f853d6de658b2a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02717",
    "kind": "arxiv",
    "version": 3
  }
}