Pith Number

pith:GZCX3MK2

pith:2025:GZCX3MK24STAZHCYJPAB2MWTNL

not attested not anchored not stored refs pending

Surface Stokes Without Inf-Sup Condition

Mansur Shakipov, Ricardo H. Nochetto

arxiv:2508.13342 v1 · 2025-08-18 · math.NA · cs.NA · 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{GZCX3MK24STAZHCYJPAB2MWTNL}

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	2026-07-05T11:55:46.560823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36457db15ae4a60c9c584bc01d32d36ac8047c88c230f0d4605ea02587d2e1a6

Aliases

arxiv: 2508.13342 · arxiv_version: 2508.13342v1 · doi: 10.48550/arxiv.2508.13342 · pith_short_12: GZCX3MK24STA · pith_short_16: GZCX3MK24STAZHCY · pith_short_8: GZCX3MK2

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/GZCX3MK24STAZHCYJPAB2MWTNL \
  | 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: 36457db15ae4a60c9c584bc01d32d36ac8047c88c230f0d4605ea02587d2e1a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bf88c3e7198aeac352ca38bddc23ba997f679995ea216e1b51d732562faf29c",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-08-18T20:01:15Z",
    "title_canon_sha256": "64f213c13251bdc73cac45cf55e4d3a2ead4eea87f125a4a6816481d8a22b704"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.13342",
    "kind": "arxiv",
    "version": 1
  }
}