Pith Number

pith:UQDV6HXD

pith:2022:UQDV6HXDTC5H2ANBFYLP2SLMN3

not attested not anchored not stored refs pending

Symmetrized two-scale finite element discretizations for partial differential equations with symmetric solutions

Aihui Zhou, Fang Liu, Pengyu Hou

arxiv:2205.15524 v1 · 2022-05-31 · 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{UQDV6HXDTC5H2ANBFYLP2SLMN3}

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	2026-07-05T04:27:33.861149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4075f1ee398ba7d01a12e16fd496c6ecd5195ac27d00f52b004f6d00267c773

Aliases

arxiv: 2205.15524 · arxiv_version: 2205.15524v1 · doi: 10.48550/arxiv.2205.15524 · pith_short_12: UQDV6HXDTC5H · pith_short_16: UQDV6HXDTC5H2ANB · pith_short_8: UQDV6HXD

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/UQDV6HXDTC5H2ANBFYLP2SLMN3 \
  | 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: a4075f1ee398ba7d01a12e16fd496c6ecd5195ac27d00f52b004f6d00267c773

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07a02e74d7ddf02afc3da68e26ed66cb28a9289c5b717d03210a9dce5455bb2d",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-05-31T03:59:56Z",
    "title_canon_sha256": "e2e438cda7fb4d2fce5044cd5bd54262a558fccbd3dbfee7117424a011f65084"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.15524",
    "kind": "arxiv",
    "version": 1
  }
}