Pith Number

pith:ASMIO7IP

pith:2012:ASMIO7IPKOBI3F3ENGGPJ7QKJM

not attested not anchored not stored refs pending

Almost sure existence of global weak solutions for super-critical Navier-Stokes equations

Andrea R. Nahmod, Gigliola Staffilani, Nata\v{s}a Pavlovi\'c

arxiv:1204.5444 v3 · 2012-04-24 · 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{ASMIO7IPKOBI3F3ENGGPJ7QKJM}

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	2026-05-18T03:32:31.822629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0498877d0f53828d9764698cf4fe0a4b132d0deacdf38c9dbbfaaaa5231ec37b

Aliases

arxiv: 1204.5444 · arxiv_version: 1204.5444v3 · doi: 10.48550/arxiv.1204.5444 · pith_short_12: ASMIO7IPKOBI · pith_short_16: ASMIO7IPKOBI3F3E · pith_short_8: ASMIO7IP

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/ASMIO7IPKOBI3F3ENGGPJ7QKJM \
  | 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: 0498877d0f53828d9764698cf4fe0a4b132d0deacdf38c9dbbfaaaa5231ec37b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8271373d68c35a38ba1fd5d917260882085f5af1635e3254da78964c559a7b0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-24T17:38:49Z",
    "title_canon_sha256": "16a68b98aa3af27da38bf58596a8327e0ae2393a219a6b6f5357659681690a4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5444",
    "kind": "arxiv",
    "version": 3
  }
}