Pith Number

pith:YFLKYXKY

pith:2011:YFLKYXKYD4HDSJVXENDPRG2FBS

not attested not anchored not stored refs pending

Local Fourier Analysis of the Complex Shifted Laplacian preconditioner for Helmholtz problems

Siegfried Cools, Wim Vanroose

arxiv:1112.5346 v3 · 2011-12-22 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YFLKYXKYD4HDSJVXENDPRG2FBS}

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	2026-05-18T03:14:08.836127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c156ac5d581f0e3926b72346f89b450cb2ef6dc380b7fdc4ba2bb83a5c595190

Aliases

arxiv: 1112.5346 · arxiv_version: 1112.5346v3 · doi: 10.48550/arxiv.1112.5346 · pith_short_12: YFLKYXKYD4HD · pith_short_16: YFLKYXKYD4HDSJVX · pith_short_8: YFLKYXKY

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/YFLKYXKYD4HDSJVXENDPRG2FBS \
  | 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: c156ac5d581f0e3926b72346f89b450cb2ef6dc380b7fdc4ba2bb83a5c595190

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b63db4381ae69e06fa5981480c4cff93a5a4c4a410d7aa1c90496d330ae79652",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-22T15:13:05Z",
    "title_canon_sha256": "83b5a743bba674fcca1efd06a9a54b6c9b3d21c5a3de3a04996cd867d9e21725"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5346",
    "kind": "arxiv",
    "version": 3
  }
}