Pith Number

pith:JR5PO67M

pith:2019:JR5PO67MSIDLDHH7UR2JKG2XXX

not attested not anchored not stored refs pending

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations

Peng Qu, Tianwen Luo

arxiv:1908.06005 v2 · 2019-08-16 · 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{JR5PO67MSIDLDHH7UR2JKG2XXX}

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	2026-07-04T23:59:34.649461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c7af77bec9206b19cffa474951b57bdd8b6018becae6d5eaaa416942487c633

Aliases

arxiv: 1908.06005 · arxiv_version: 1908.06005v2 · doi: 10.48550/arxiv.1908.06005 · pith_short_12: JR5PO67MSIDL · pith_short_16: JR5PO67MSIDLDHH7 · pith_short_8: JR5PO67M

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/JR5PO67MSIDLDHH7UR2JKG2XXX \
  | 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: 4c7af77bec9206b19cffa474951b57bdd8b6018becae6d5eaaa416942487c633

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8de84bd271807e93fd1aadf25df70dd7826be97bbdb63b365daae7fdaf497d17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-16T15:16:54Z",
    "title_canon_sha256": "75ad87f3ee4c888e43dfb9a11689ba417bf68edd8e69b17fcdfd4a53e9aa3223"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06005",
    "kind": "arxiv",
    "version": 2
  }
}