Pith Number

pith:3EHAHJKB

pith:2012:3EHAHJKBLFI4XIC3WCQW2YOBKV

not attested not anchored not stored refs pending

A regularity criterion for the weak solutions to the Navier-Stokes-Fourier system

Antonin Novotny, Eduard Feireisl, Yongzhong Sun

arxiv:1209.3393 v1 · 2012-09-15 · 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{3EHAHJKBLFI4XIC3WCQW2YOBKV}

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	2026-05-18T01:54:28.717893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d90e03a5415951cba05bb0a16d61c1555d096c34c1e823153022edc04c121b90

Aliases

arxiv: 1209.3393 · arxiv_version: 1209.3393v1 · doi: 10.48550/arxiv.1209.3393 · pith_short_12: 3EHAHJKBLFI4 · pith_short_16: 3EHAHJKBLFI4XIC3 · pith_short_8: 3EHAHJKB

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/3EHAHJKBLFI4XIC3WCQW2YOBKV \
  | 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: d90e03a5415951cba05bb0a16d61c1555d096c34c1e823153022edc04c121b90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beacb71aaeb9cef641fe2b45aaa25a6a5c6d6cf02c6ab82f2c5610a36b2aec02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-15T11:49:36Z",
    "title_canon_sha256": "705fd4bff647b713ce84ad825efefebf87d07541dae55a3f6b9929cec2cce489"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3393",
    "kind": "arxiv",
    "version": 1
  }
}