Pith Number

pith:ZNG7JIVL

pith:2017:ZNG7JIVLATGT4MDKCRDF7KT7S4

not attested not anchored not stored refs pending

A Family of Crouzeix-Raviart Finite Elements in 3D

Charles F. Dunkl, Patrick Ciarlet Jr., Stefan A. Sauter

arxiv:1703.03224 v1 · 2017-03-09 · 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{ZNG7JIVLATGT4MDKCRDF7KT7S4}

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	2026-05-18T00:49:01.050341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb4df4a2ab04cd3e306a14465faa7f9726ff0bc3dd0f72769d36051d48128e82

Aliases

arxiv: 1703.03224 · arxiv_version: 1703.03224v1 · doi: 10.48550/arxiv.1703.03224 · pith_short_12: ZNG7JIVLATGT · pith_short_16: ZNG7JIVLATGT4MDK · pith_short_8: ZNG7JIVL

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/ZNG7JIVLATGT4MDKCRDF7KT7S4 \
  | 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: cb4df4a2ab04cd3e306a14465faa7f9726ff0bc3dd0f72769d36051d48128e82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2d7bb4f6d38fa8a429d33b579103fec4c1fdc021c759d278dcb82230bdb7091",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-03-09T10:48:31Z",
    "title_canon_sha256": "d277d78686124723b6b1c24ac337001e25c170d305dea625c7257b4b98b493ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03224",
    "kind": "arxiv",
    "version": 1
  }
}