Pith Number

pith:4HMI7EY5

pith:2010:4HMI7EY5V2B2CWI4WOBGK4M5KQ

not attested not anchored not stored refs pending

Static two-grid mixed finite-element approximations to the Navier-Stokes equations

Bosco Garc\'ia-Archilla, Javier de Frutos, Julia Novo

arxiv:1011.2972 v1 · 2010-11-12 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HMI7EY5V2B2CWI4WOBGK4M5KQ}

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	2026-05-18T00:54:14.212095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1d88f931dae83a1591cb38265719d543ff43f15ee895f297006e30495fd361e

Aliases

arxiv: 1011.2972 · arxiv_version: 1011.2972v1 · doi: 10.48550/arxiv.1011.2972 · pith_short_12: 4HMI7EY5V2B2 · pith_short_16: 4HMI7EY5V2B2CWI4 · pith_short_8: 4HMI7EY5

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/4HMI7EY5V2B2CWI4WOBGK4M5KQ \
  | 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: e1d88f931dae83a1591cb38265719d543ff43f15ee895f297006e30495fd361e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9035ab6db5cc634137b84aa4624d57b2af8d65c6fe063b593ec742bfe3fdfa8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-11-12T16:18:32Z",
    "title_canon_sha256": "409d91e2df56d5b926b58d85b902919dce58291ba9438a2d97e416fd25f4dff5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2972",
    "kind": "arxiv",
    "version": 1
  }
}