Pith Number

pith:TJMMFSQM

pith:2021:TJMMFSQMTOFHAT4QGJVCLOGVKN

not attested not anchored not stored refs pending

Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency?

Alastair Spence, Euan A. Spence, Jeffrey Galkowski, Pierre Marchand

arxiv:2102.05367 v3 · 2021-02-10 · math.NA · cs.NA · 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{TJMMFSQMTOFHAT4QGJVCLOGVKN}

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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	2026-07-05T03:31:12.856158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a58c2ca0c9b8a704f90326a25b8d5535731f51fde8dfef8fb9f4edd0619da46

Aliases

arxiv: 2102.05367 · arxiv_version: 2102.05367v3 · doi: 10.48550/arxiv.2102.05367 · pith_short_12: TJMMFSQMTOFH · pith_short_16: TJMMFSQMTOFHAT4Q · pith_short_8: TJMMFSQM

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/TJMMFSQMTOFHAT4QGJVCLOGVKN \
  | 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: 9a58c2ca0c9b8a704f90326a25b8d5535731f51fde8dfef8fb9f4edd0619da46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2989d8ad425f06c0bc6cdc0555b04a8fac5bd32397ad7ead4dc7fbf43dca8ef",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-02-10T10:13:15Z",
    "title_canon_sha256": "e7b90c8c427b35ea7db1e0a97ce81d24ca8b4388ae6ff2de7183c4dd786c76a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.05367",
    "kind": "arxiv",
    "version": 3
  }
}