Pith Number

pith:CCVZHGFP

pith:2026:CCVZHGFP3EOSTEC6DAGRKNLBRU

not attested not anchored not stored refs pending

A remark on very weak suitable solutions and Leray solutions of the Navier-Stokes equations

Oscar Jarr\'in

arxiv:2607.03602 v1 · 2026-07-03 · 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{CCVZHGFP3EOSTEC6DAGRKNLBRU}

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	2026-07-07T02:17:56.893629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10ab9398afd91d29905e180d1535618d182f222c758e0341bc31b0f7ac7e2ed9

Aliases

arxiv: 2607.03602 · arxiv_version: 2607.03602v1 · doi: 10.48550/arxiv.2607.03602 · pith_short_12: CCVZHGFP3EOS · pith_short_16: CCVZHGFP3EOSTEC6 · pith_short_8: CCVZHGFP

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/CCVZHGFP3EOSTEC6DAGRKNLBRU \
  | 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: 10ab9398afd91d29905e180d1535618d182f222c758e0341bc31b0f7ac7e2ed9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f65241e413ffa9b530506c4d174e47aeba743370d260ffffb42add8dff24694",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-03T20:59:50Z",
    "title_canon_sha256": "b276b88a2f88f325ca74b90e884dd75b446c2967f4b9a07b37fae64bc86f15b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03602",
    "kind": "arxiv",
    "version": 1
  }
}