Pith Number

pith:CGGLQI5E

pith:2019:CGGLQI5ERDER7MNABY4LLD22AR

not attested not anchored not stored refs pending

A note on weak solutions to the Navier-Stokes equations that are locally in $L_\infty(L^{3,\infty})$

Gregory Seregin

arxiv:1906.06707 v1 · 2019-06-16 · 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{CGGLQI5ERDER7MNABY4LLD22AR}

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	2026-05-17T23:43:12.891564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

118cb823a488c91fb1a00e38b58f5a0461e651739deb4e784e9403df25e658fb

Aliases

arxiv: 1906.06707 · arxiv_version: 1906.06707v1 · doi: 10.48550/arxiv.1906.06707 · pith_short_12: CGGLQI5ERDER · pith_short_16: CGGLQI5ERDER7MNA · pith_short_8: CGGLQI5E

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/CGGLQI5ERDER7MNABY4LLD22AR \
  | 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: 118cb823a488c91fb1a00e38b58f5a0461e651739deb4e784e9403df25e658fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0d5da181af04776442134d7e3675ddbd3202dc992ad7a44e9f62aa0a7268877",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-16T14:41:54Z",
    "title_canon_sha256": "b9037054c6238e6d071bc95b123336ff64d8725c7447c0ade2aaa3fab9dd5db7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06707",
    "kind": "arxiv",
    "version": 1
  }
}