Pith Number

pith:CK6KFA5S

pith:2021:CK6KFA5SBSHCBV43PL26AW4BME

not attested not anchored not stored refs pending

Analytic investigation of the compatibility condition and the initial evolution of a smooth velocity field for the Navier-Stokes equation in a channel configuration

Gy\"orgy Pa\'al, P\'eter Tam\'as Nagy

arxiv:2109.12995 v2 · 2021-09-23 · math.AP · 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{CK6KFA5SBSHCBV43PL26AW4BME}

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	2026-07-05T04:10:37.296357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12bca283b20c8e20d79b7af5e05b81613f7e7eb77c6b7310465ff0a3304e6f91

Aliases

arxiv: 2109.12995 · arxiv_version: 2109.12995v2 · doi: 10.48550/arxiv.2109.12995 · pith_short_12: CK6KFA5SBSHC · pith_short_16: CK6KFA5SBSHCBV43 · pith_short_8: CK6KFA5S

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/CK6KFA5SBSHCBV43PL26AW4BME \
  | 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: 12bca283b20c8e20d79b7af5e05b81613f7e7eb77c6b7310465ff0a3304e6f91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc059e402c15fa7a4685810e17b096fd747215525de45ca8559dc1c0c708d16c",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-09-23T10:55:17Z",
    "title_canon_sha256": "2bc915a9cce880045fdf6976c37f8271fb1953086a5ea957632f23725c953f83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.12995",
    "kind": "arxiv",
    "version": 2
  }
}