Pith Number

pith:OIPODG6U

pith:2025:OIPODG6UEL2C33PZMSEIDVIEZ4

not attested not anchored not stored refs pending

Two-dimensional Carreau law for a quasi-newtonian fluid flow through a thin domain with a slightly rough boundary

Francisco J. Su\'arez-Grau, Mar\'ia Anguiano

arxiv:2508.04785 v2 · 2025-08-06 · 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{OIPODG6UEL2C33PZMSEIDVIEZ4}

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	2026-06-09T01:05:08.549453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

721ee19bd422f42dedf9648881d504cf133790218a6d5f18bba8677dbc473361

Aliases

arxiv: 2508.04785 · arxiv_version: 2508.04785v2 · doi: 10.48550/arxiv.2508.04785 · pith_short_12: OIPODG6UEL2C · pith_short_16: OIPODG6UEL2C33PZ · pith_short_8: OIPODG6U

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/OIPODG6UEL2C33PZMSEIDVIEZ4 \
  | 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: 721ee19bd422f42dedf9648881d504cf133790218a6d5f18bba8677dbc473361

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bda68db383a6df5cf75421eb26f2f682ae9e000764132867777f68bcb9fa088",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-08-06T18:02:03Z",
    "title_canon_sha256": "f025a8143a73f463c8f562012e16644121a98db8695c70029bea81af3cf83559"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.04785",
    "kind": "arxiv",
    "version": 2
  }
}