Pith Number

pith:H2FYUTDN

pith:2014:H2FYUTDNTQLSHRZE4FW4LICY3R

not attested not anchored not stored refs pending

Blow-up of critical Besov norms at a potential Navier-Stokes singularity

Fabrice Planchon, Gabriel S. Koch, Isabelle Gallagher

arxiv:1407.4156 v3 · 2014-07-15 · 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{H2FYUTDNTQLSHRZE4FW4LICY3R}

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	2026-05-18T01:17:26.036621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e8b8a4c6d9c1723c724e16dc5a058dc435184759772435bffb1d7d0ad904939

Aliases

arxiv: 1407.4156 · arxiv_version: 1407.4156v3 · doi: 10.48550/arxiv.1407.4156 · pith_short_12: H2FYUTDNTQLS · pith_short_16: H2FYUTDNTQLSHRZE · pith_short_8: H2FYUTDN

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/H2FYUTDNTQLSHRZE4FW4LICY3R \
  | 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: 3e8b8a4c6d9c1723c724e16dc5a058dc435184759772435bffb1d7d0ad904939

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bb4c6ffc422edc3c773939805cf3e4b0af47107c0b9426eb33ce09872429a31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-15T21:51:37Z",
    "title_canon_sha256": "05331c65abddfab940fe1770771590b86ca7c17f643e18ad31cf0331f36b4c8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4156",
    "kind": "arxiv",
    "version": 3
  }
}