Pith Number

pith:VRFGYO4J

pith:2017:VRFGYO4J5X72AT46AIRRL2GLGU

not attested not anchored not stored refs pending

Numerical investigations of non-uniqueness for the Navier-Stokes initial value problem in borderline spaces

Julien Guillod, Vladim\'ir \v{S}ver\'ak

arxiv:1704.00560 v1 · 2017-04-03 · math.AP · cs.NA · math-ph · math.MP · math.NA · physics.flu-dyn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRFGYO4J5X72AT46AIRRL2GLGU}

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	2026-06-04T18:10:42.619698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac4a6c3b89edffa04f9e022315e8cb352d20fb67c589aa7631c3ad4e77c37570

Aliases

arxiv: 1704.00560 · arxiv_version: 1704.00560v1 · doi: 10.48550/arxiv.1704.00560 · pith_short_12: VRFGYO4J5X72 · pith_short_16: VRFGYO4J5X72AT46 · pith_short_8: VRFGYO4J

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/VRFGYO4J5X72AT46AIRRL2GLGU \
  | 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: ac4a6c3b89edffa04f9e022315e8cb352d20fb67c589aa7631c3ad4e77c37570

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c05defff9c3342f8ebfaaaed980aacc03e746dbda3e687b4d7bd5c60fec0b1b",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.MP",
      "math.NA",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-04-03T13:04:37Z",
    "title_canon_sha256": "c64631515cdcd9a2abb1be67880066d24becc168077fd5b98e947009f82a46e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00560",
    "kind": "arxiv",
    "version": 1
  }
}