Pith Number

pith:IIB634Y2

pith:2015:IIB634Y2VVOBK35A2WCMUCP3J4

not attested not anchored not stored refs pending

Convergence analysis of GMRES for the Helmholtz equation via pseudospectrum

Antti Hannukainen

arxiv:1505.08072 v1 · 2015-05-29 · 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{IIB634Y2VVOBK35A2WCMUCP3J4}

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	2026-05-18T01:59:59.831350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4203edf31aad5c156fa0d584ca09fb4f0cce27af90f906bac925cea171bdb04d

Aliases

arxiv: 1505.08072 · arxiv_version: 1505.08072v1 · doi: 10.48550/arxiv.1505.08072 · pith_short_12: IIB634Y2VVOB · pith_short_16: IIB634Y2VVOBK35A · pith_short_8: IIB634Y2

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/IIB634Y2VVOBK35A2WCMUCP3J4 \
  | 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: 4203edf31aad5c156fa0d584ca09fb4f0cce27af90f906bac925cea171bdb04d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec166965ad63c304942b5197d08e082cf3c7cc72fbc53b1ab08956514b6ed255",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-05-29T14:52:21Z",
    "title_canon_sha256": "068c25b30101621beba0f23d4078278243a4c41ecf5bef30270638cec8aeee60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.08072",
    "kind": "arxiv",
    "version": 1
  }
}