Pith Number

pith:4DNASPDY

pith:2012:4DNASPDY5OJCY5RJOKIGZT3TLC

not attested not anchored not stored refs pending

Anisotropic regularity and optimal rates of convergence for the Finite Element Method on three dimensional polyhedral domains

Anna L. Mazzucato, Constantin Bacuta, Victor Nistor

arxiv:1205.2128 v1 · 2012-05-10 · math.NA · math-ph · math.AP · math.FA · 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{4DNASPDY5OJCY5RJOKIGZT3TLC}

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	2026-05-18T03:55:56.974530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0da093c78eb922c762972906ccf7358a805c5221b53c12aad7f96c4745a94d5

Aliases

arxiv: 1205.2128 · arxiv_version: 1205.2128v1 · doi: 10.48550/arxiv.1205.2128 · pith_short_12: 4DNASPDY5OJC · pith_short_16: 4DNASPDY5OJCY5RJ · pith_short_8: 4DNASPDY

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/4DNASPDY5OJCY5RJOKIGZT3TLC \
  | 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: e0da093c78eb922c762972906ccf7358a805c5221b53c12aad7f96c4745a94d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aa036aa280dd439d106177051124b3cd71253aef846d2b00dadee76dc78aa8f",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-05-10T00:23:14Z",
    "title_canon_sha256": "9b0bb2507fde8844a990c33d38277ff71bd1163a50399d78be7891bc068d19d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2128",
    "kind": "arxiv",
    "version": 1
  }
}