Pith Number

pith:JBIL3CVC

pith:2011:JBIL3CVCRFPRBJXFT7KDV4BNDS

not attested not anchored not stored refs pending

On the stability in weak topology of the set of global solutions to the Navier-Stokes equations

Hajer Bahouri (LAMA), Isabelle Gallagher (IMJ)

arxiv:1109.4043 v2 · 2011-09-19 · 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{JBIL3CVCRFPRBJXFT7KDV4BNDS}

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	2026-05-18T03:32:57.250568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4850bd8aa2895f10a6e59fd43af02d1cbbfd0698ff5357ce6246e66f51d4b1ab

Aliases

arxiv: 1109.4043 · arxiv_version: 1109.4043v2 · doi: 10.48550/arxiv.1109.4043 · pith_short_12: JBIL3CVCRFPR · pith_short_16: JBIL3CVCRFPRBJXF · pith_short_8: JBIL3CVC

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/JBIL3CVCRFPRBJXFT7KDV4BNDS \
  | 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: 4850bd8aa2895f10a6e59fd43af02d1cbbfd0698ff5357ce6246e66f51d4b1ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "171ccf4d1bcae15dc08c24bba5991acca9336f8537f914c44c9ca2f56cd759d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-19T14:44:21Z",
    "title_canon_sha256": "7cd6d3ed92548ec05c18e6baf6f5bedf01b04ccfb1d554656757130c8f2cb9d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4043",
    "kind": "arxiv",
    "version": 2
  }
}