Pith Number

pith:77CBG24Z

pith:2019:77CBG24ZDUK7ZH35QJQ7S3LVFD

not attested not anchored not stored refs pending

Efficient low-order refined preconditioners for high-order matrix-free continuous and discontinuous Galerkin methods

Will Pazner

arxiv:1908.07071 v2 · 2019-08-19 · 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{77CBG24ZDUK7ZH35QJQ7S3LVFD}

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	2026-07-05T02:21:49.782276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffc4136b991d15fc9f7d8261f96d7528cce31337a57511ad2d9b94c792d4196b

Aliases

arxiv: 1908.07071 · arxiv_version: 1908.07071v2 · doi: 10.48550/arxiv.1908.07071 · pith_short_12: 77CBG24ZDUK7 · pith_short_16: 77CBG24ZDUK7ZH35 · pith_short_8: 77CBG24Z

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/77CBG24ZDUK7ZH35QJQ7S3LVFD \
  | 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: ffc4136b991d15fc9f7d8261f96d7528cce31337a57511ad2d9b94c792d4196b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a843a11faf3ee563b460ed4ee7a46561e2943a6835169ddf6a061f28f66076f",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-08-19T21:08:07Z",
    "title_canon_sha256": "8966be0349fcef40c93857e1311cf3a4dc99ce04a63d0f89a92e1182546ce965"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07071",
    "kind": "arxiv",
    "version": 2
  }
}