Pith Number

pith:GYEUGUEY

pith:2016:GYEUGUEYXE4ONS3EUIB726O6QY

not attested not anchored not stored refs pending

Finite-time blow-up phenomena of Vlasov/Navier-Stokes equations and related systems

Young-Pil Choi

arxiv:1606.07158 v1 · 2016-06-23 · 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{GYEUGUEYXE4ONS3EUIB726O6QY}

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	2026-05-18T01:11:58.556403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3609435098b938e6cb64a203fd79de8637e8494ecec902720296b2c7f3c4cdb7

Aliases

arxiv: 1606.07158 · arxiv_version: 1606.07158v1 · doi: 10.48550/arxiv.1606.07158 · pith_short_12: GYEUGUEYXE4O · pith_short_16: GYEUGUEYXE4ONS3E · pith_short_8: GYEUGUEY

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/GYEUGUEYXE4ONS3EUIB726O6QY \
  | 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: 3609435098b938e6cb64a203fd79de8637e8494ecec902720296b2c7f3c4cdb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e147561b029b43ab02026c52ab30d7ac6cdb35a0fd406a8fc38b286f7d6dccb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-23T01:44:25Z",
    "title_canon_sha256": "60cbe27734c9b3f946f4e5dfd3bcee0489c84f269ada1cec4bf64949ce9b8fa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07158",
    "kind": "arxiv",
    "version": 1
  }
}