Pith Number

pith:FOEYIQOR

pith:2015:FOEYIQOR766YE7TLHNJ34YLIGF

not attested not anchored not stored refs pending

Leray's self-similar solutions to the Navier--Stokes equations with profiles in Marcinkiewicz and Morrey spaces

Cristi Guevara, Nguyen Cong Phuc

arxiv:1509.08177 v2 · 2015-09-28 · 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{FOEYIQOR766YE7TLHNJ34YLIGF}

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	2026-05-18T00:51:34.256697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b898441d1ffbd827e6b3b53be61683162c233fd87b45849ec758e13099a5baf

Aliases

arxiv: 1509.08177 · arxiv_version: 1509.08177v2 · doi: 10.48550/arxiv.1509.08177 · pith_short_12: FOEYIQOR766Y · pith_short_16: FOEYIQOR766YE7TL · pith_short_8: FOEYIQOR

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/FOEYIQOR766YE7TLHNJ34YLIGF \
  | 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: 2b898441d1ffbd827e6b3b53be61683162c233fd87b45849ec758e13099a5baf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8877b53530e7d7af4c12e252c80391391a5695a71c8984a0df1bedd648eeaec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-28T02:41:28Z",
    "title_canon_sha256": "30a035994a71562cca4ccb4c1cc087df3eef07660d7bbd706e1dbb3edb286a70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08177",
    "kind": "arxiv",
    "version": 2
  }
}