Pith Number

pith:FCUK2ILU

pith:2018:FCUK2ILUREGAN3L7ONU3CNG7EH

not attested not anchored not stored refs pending

A non linear estimate on the life span of solutions of the three dimensional Navier-Stokes equations

Isabelle Gallagher (DMA, Jean-Yves Chemin (LJLL), UPD7)

arxiv:1801.07439 v2 · 2018-01-23 · 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{FCUK2ILUREGAN3L7ONU3CNG7EH}

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	2026-05-18T00:15:16.686575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28a8ad2174890c06ed7f7369b134df21eebb98e3c21d212e90d4083284387996

Aliases

arxiv: 1801.07439 · arxiv_version: 1801.07439v2 · doi: 10.48550/arxiv.1801.07439 · pith_short_12: FCUK2ILUREGA · pith_short_16: FCUK2ILUREGAN3L7 · pith_short_8: FCUK2ILU

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/FCUK2ILUREGAN3L7ONU3CNG7EH \
  | 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: 28a8ad2174890c06ed7f7369b134df21eebb98e3c21d212e90d4083284387996

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f0dcc1c4ac5204ced9a6211b1789aaf797d2a8b713fcb167ca67bb1c1f77736",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-01-23T08:51:11Z",
    "title_canon_sha256": "b90c16eb8824b47c43a91ff44ba05735602bab88c5dcce764b05822898b61ca2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07439",
    "kind": "arxiv",
    "version": 2
  }
}