Pith Number

pith:3VE6KBMA

pith:2022:3VE6KBMAFVYFNRT7XGPUKQDWH2

not attested not anchored not stored refs pending

Nonconforming virtual elements for the biharmonic equation with Morley degrees of freedom on polygonal meshes

Amiya K. Pani, Carsten Carstensen, Rekha Khot

arxiv:2205.08764 v1 · 2022-05-18 · math.NA · cs.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{3VE6KBMAFVYFNRT7XGPUKQDWH2}

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	2026-07-05T04:24:28.984041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd49e505802d7056c67fb99f4540763e82fed992dfe45a11a5efc0b7f6c6b396

Aliases

arxiv: 2205.08764 · arxiv_version: 2205.08764v1 · doi: 10.48550/arxiv.2205.08764 · pith_short_12: 3VE6KBMAFVYF · pith_short_16: 3VE6KBMAFVYFNRT7 · pith_short_8: 3VE6KBMA

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/3VE6KBMAFVYFNRT7XGPUKQDWH2 \
  | 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: dd49e505802d7056c67fb99f4540763e82fed992dfe45a11a5efc0b7f6c6b396

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f7c1571257d3aba509e74685cf37a2d920680e748bfab828c89a637b6f53d35",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-05-18T07:22:07Z",
    "title_canon_sha256": "5c5ac05bd9f0763b7421f35bf9a6d563de5245f5b7fffad1356ee5fbf9ccc947"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.08764",
    "kind": "arxiv",
    "version": 1
  }
}