Pith Number

pith:VDC7B26S

pith:2015:VDC7B26SFUPYUSRKNKS27P3QL5

not attested not anchored not stored refs pending

Domain Decomposition preconditioning for high-frequency Helmholtz problems with absorption

Eero Vainikko, Euan A. Spence, Ivan G. Graham

arxiv:1507.02097 v2 · 2015-07-08 · math.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{VDC7B26SFUPYUSRKNKS27P3QL5}

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	2026-05-18T01:18:18.366848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8c5f0ebd22d1f8a4a2a6aa5afbf705f7310771003ed5d8aa360b36a7627410a

Aliases

arxiv: 1507.02097 · arxiv_version: 1507.02097v2 · doi: 10.48550/arxiv.1507.02097 · pith_short_12: VDC7B26SFUPY · pith_short_16: VDC7B26SFUPYUSRK · pith_short_8: VDC7B26S

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/VDC7B26SFUPYUSRKNKS27P3QL5 \
  | 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: a8c5f0ebd22d1f8a4a2a6aa5afbf705f7310771003ed5d8aa360b36a7627410a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1128e742d277a533717a32993e802b12057e003a0674c284361fb2be39abd4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-07-08T11:06:55Z",
    "title_canon_sha256": "83be1c53bd3af7a9026e84133ea82fb214d730ecfef3218b93bd786c59b9ad70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02097",
    "kind": "arxiv",
    "version": 2
  }
}