Pith Number

pith:YSNQJYV3

pith:2022:YSNQJYV3YPBJGCGC4WMBVNVO7E

not attested not anchored not stored refs pending

Evolution of channel flow and Darcy law beyond the critical Reynolds number

Ping Sheng, Xiaohui Deng

arxiv:2207.06922 v2 · 2022-07-14 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YSNQJYV3YPBJGCGC4WMBVNVO7E}

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	2026-07-05T04:46:39.113948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c49b04e2bbc3c29308c2e5981ab6aef932b3f9d3d9097a10d0351f51350df1a1

Aliases

arxiv: 2207.06922 · arxiv_version: 2207.06922v2 · doi: 10.48550/arxiv.2207.06922 · pith_short_12: YSNQJYV3YPBJ · pith_short_16: YSNQJYV3YPBJGCGC · pith_short_8: YSNQJYV3

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/YSNQJYV3YPBJGCGC4WMBVNVO7E \
  | 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: c49b04e2bbc3c29308c2e5981ab6aef932b3f9d3d9097a10d0351f51350df1a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8f1707a9f69b3a0eb2b30ab0138b89c4a6b1bd3d86ad1cd442c0966643213e6",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-07-14T13:41:31Z",
    "title_canon_sha256": "9117f5615e5fcadbe00a419de680d18a357642b07d9a1fd29fa72169fe3e383d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.06922",
    "kind": "arxiv",
    "version": 2
  }
}