Pith Number

pith:2ADBBFQ5

pith:2019:2ADBBFQ5OII5JMZBMD24SBUGH7

not attested not anchored not stored refs pending

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators

Hendrik Ranocha, Katharina Ostaszewski, Philip Heinisch

arxiv:1908.08732 v2 · 2019-08-23 · 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{2ADBBFQ5OII5JMZBMD24SBUGH7}

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	2026-07-05T00:39:32.303247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d00610961d7211d4b32160f5c906863ffffd7343185c5a9c9ce05294dbff7738

Aliases

arxiv: 1908.08732 · arxiv_version: 1908.08732v2 · doi: 10.48550/arxiv.1908.08732 · pith_short_12: 2ADBBFQ5OII5 · pith_short_16: 2ADBBFQ5OII5JMZB · pith_short_8: 2ADBBFQ5

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/2ADBBFQ5OII5JMZBMD24SBUGH7 \
  | 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: d00610961d7211d4b32160f5c906863ffffd7343185c5a9c9ce05294dbff7738

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63cbbaa8c46d765c3d5cf442da30ad7ed78c9583182a74f7dd163dd984a22c08",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-08-23T09:35:31Z",
    "title_canon_sha256": "84e393cdaa0e72c082a235d1d3c4a37341fc3346c6231f288785e28318be36a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08732",
    "kind": "arxiv",
    "version": 2
  }
}