Pith Number

pith:LYZRNF52

pith:2015:LYZRNF52REJY4QJRQKCR7K3XWH

not attested not anchored not stored refs pending

Global Strong Well-posedness of the Three Dimensional Primitive equations in $L^p$-spaces

Matthias Hieber, Takahito Kashiwabara

arxiv:1509.01151 v1 · 2015-09-03 · 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{LYZRNF52REJY4QJRQKCR7K3XWH}

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	2026-05-18T01:18:43.310586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e331697ba89138e413182851fab77b1cc316da73c7e5ceabd4534cd4e742d9e

Aliases

arxiv: 1509.01151 · arxiv_version: 1509.01151v1 · doi: 10.48550/arxiv.1509.01151 · pith_short_12: LYZRNF52REJY · pith_short_16: LYZRNF52REJY4QJR · pith_short_8: LYZRNF52

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/LYZRNF52REJY4QJRQKCR7K3XWH \
  | 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: 5e331697ba89138e413182851fab77b1cc316da73c7e5ceabd4534cd4e742d9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04bc6b8eada34958bae2bbd9a36b3eb5e2f7e75537300915567bcadf25df025b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-03T16:30:48Z",
    "title_canon_sha256": "b499698f7b0204f3e281d8f2830dda4dfaabca530c4f8fe18f9b223ae74c046a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01151",
    "kind": "arxiv",
    "version": 1
  }
}