Pith Number

pith:GANPAHSX

pith:2021:GANPAHSXYIUTVUDSUZIP6NLD45

not attested not anchored not stored refs pending

The potentially singular behavior of the 3D Navier-Stokes equations

Thomas Y. Hou

arxiv:2107.06509 v2 · 2021-07-14 · physics.flu-dyn · cs.NA · math.AP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GANPAHSXYIUTVUDSUZIP6NLD45}

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.

Cited by

1 paper in Pith

Exact Blowup Analysis for the Weak-Advection Hou--Li Model

Receipt and verification

First computed	2026-07-05T04:26:45.454554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

301af01e57c2293ad072a650ff3563e760e57dd18b4347217c67eabde0314264

Aliases

arxiv: 2107.06509 · arxiv_version: 2107.06509v2 · doi: 10.48550/arxiv.2107.06509 · pith_short_12: GANPAHSXYIUT · pith_short_16: GANPAHSXYIUTVUDS · pith_short_8: GANPAHSX

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/GANPAHSXYIUTVUDSUZIP6NLD45 \
  | 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: 301af01e57c2293ad072a650ff3563e760e57dd18b4347217c67eabde0314264

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "102d016684d7246f6c554fdac14eebc6c1b7aff320fe88f173781f3171087d6f",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2021-07-14T06:36:22Z",
    "title_canon_sha256": "7825999007a20d0a481edadb944dacf9a5e6b6beb966b23a1738de76b929d16b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.06509",
    "kind": "arxiv",
    "version": 2
  }
}