Pith Number

pith:YPA4KB3P

pith:2020:YPA4KB3PWFLYHURKWCIQG4EK5Z

not attested not anchored not stored refs pending

Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification

Euan A. Spence, Ivan G. Graham, Owen R. Pembery

arxiv:2005.13390 v2 · 2020-05-27 · 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{YPA4KB3PWFLYHURKWCIQG4EK5Z}

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	2026-07-05T02:57:07.587285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3c1c5076fb15783d22ab09103708aee6e67ef0de0c6f67c9fc34308570dffe8

Aliases

arxiv: 2005.13390 · arxiv_version: 2005.13390v2 · doi: 10.48550/arxiv.2005.13390 · pith_short_12: YPA4KB3PWFLY · pith_short_16: YPA4KB3PWFLYHURK · pith_short_8: YPA4KB3P

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/YPA4KB3PWFLYHURKWCIQG4EK5Z \
  | 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: c3c1c5076fb15783d22ab09103708aee6e67ef0de0c6f67c9fc34308570dffe8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e671b39db05e4bff4faa4531438593273150e9034ea854fd485a9578600ee07",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-05-27T14:42:25Z",
    "title_canon_sha256": "db40509c3379b378ea105ae99c3ab4a6b1e9c63f9d9ef79ccba24ac90d0e5491"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.13390",
    "kind": "arxiv",
    "version": 2
  }
}