Pith Number

pith:ABKVKCPN

pith:2020:ABKVKCPNRSWEUKPTQ7XM6SPWHU

not attested not anchored not stored refs pending

Domain decomposition preconditioners for high-order discretisations of the heterogeneous Helmholtz equation

Euan A. Spence, Ivan G. Graham, Shihua Gong

arxiv:2004.03996 v2 · 2020-04-08 · 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{ABKVKCPNRSWEUKPTQ7XM6SPWHU}

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	2026-07-05T01:39:57.411007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00555509ed8cac4a29f387eecf49f63d040d1b19459727550203702a0d890fc8

Aliases

arxiv: 2004.03996 · arxiv_version: 2004.03996v2 · doi: 10.48550/arxiv.2004.03996 · pith_short_12: ABKVKCPNRSWE · pith_short_16: ABKVKCPNRSWEUKPT · pith_short_8: ABKVKCPN

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/ABKVKCPNRSWEUKPTQ7XM6SPWHU \
  | 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: 00555509ed8cac4a29f387eecf49f63d040d1b19459727550203702a0d890fc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8fb9fea5751f2f9ce7fc69138a746b48c92cf24a687af11286c1c784fcb0ab4",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-04-08T14:02:13Z",
    "title_canon_sha256": "36513f31aa0ef3dc1afe3a807830f1a88cfca702403faf94ddb146e1aa351650"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.03996",
    "kind": "arxiv",
    "version": 2
  }
}