Pith Number

pith:Y53YW7TD

pith:2024:Y53YW7TDLB6EST4G7ZNBGJNKG2

not attested not anchored not stored refs pending

Global motions for nonhomogeneous Navier-Stokes equations with large flux

Joanna Renc{\l}awowicz, Wojciech M. Zaj\k{a}czkowski

arxiv:2402.04793 v1 · 2024-02-07 · 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{Y53YW7TDLB6EST4G7ZNBGJNKG2}

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	2026-07-05T07:42:32.621443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7778b7e63587c494f86fe5a1325aa36b6bc463f72ed6941024ef2c449c42010

Aliases

arxiv: 2402.04793 · arxiv_version: 2402.04793v1 · doi: 10.48550/arxiv.2402.04793 · pith_short_12: Y53YW7TDLB6E · pith_short_16: Y53YW7TDLB6EST4G · pith_short_8: Y53YW7TD

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/Y53YW7TDLB6EST4G7ZNBGJNKG2 \
  | 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: c7778b7e63587c494f86fe5a1325aa36b6bc463f72ed6941024ef2c449c42010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6881b3c445d6372e8423791e7556b0b378b4a13e3e3948287690e3d037a7457",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-02-07T12:32:52Z",
    "title_canon_sha256": "960f29bdceff75687193a956897aa8b8400bb4e86228fbc1512f14cecda034c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.04793",
    "kind": "arxiv",
    "version": 1
  }
}