Pith Number

pith:EHJYPFK2

pith:2018:EHJYPFK2L2LM44JZKL5PSPLOUW

not attested not anchored not stored refs pending

A Quasi-Optimal Crouzeix-Raviart Discretization of the Stokes Equations

Pietro Zanotti, R\"udiger Verf\"urth

arxiv:1812.04889 v1 · 2018-12-12 · 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{EHJYPFK2L2LM44JZKL5PSPLOUW}

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	2026-05-17T23:58:27.024552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21d387955a5e96ce713952faf93d6ea58203aaae8cd1614a3fda44e0774fdd2a

Aliases

arxiv: 1812.04889 · arxiv_version: 1812.04889v1 · doi: 10.48550/arxiv.1812.04889 · pith_short_12: EHJYPFK2L2LM · pith_short_16: EHJYPFK2L2LM44JZ · pith_short_8: EHJYPFK2

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/EHJYPFK2L2LM44JZKL5PSPLOUW \
  | 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: 21d387955a5e96ce713952faf93d6ea58203aaae8cd1614a3fda44e0774fdd2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d7111ad164cb74324cbf89bb275d89b96e6f070fb39c8778033acf1db943ae2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-12-12T10:48:10Z",
    "title_canon_sha256": "eb7721b9def28a074badcb866505a8c91169cf076fceb1aa0d7fe81d082f3986"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04889",
    "kind": "arxiv",
    "version": 1
  }
}