Pith Number

pith:SGP6NGYI

pith:2025:SGP6NGYIRBTH5WFBGOUGYRCAMQ

not attested not anchored not stored refs pending

A Parareal Algorithm with Low-Rank Coarse Solvers

Mario Ohlberger, Martin J. Gander, Stephan Rave

arxiv:2508.08873 v2 · 2025-08-12 · 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{SGP6NGYIRBTH5WFBGOUGYRCAMQ}

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	2026-06-02T03:04:33.786798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

919fe69b0888667ed8a133a86c44406439bd960561f82033fcda3f8fa3b74ab0

Aliases

arxiv: 2508.08873 · arxiv_version: 2508.08873v2 · doi: 10.48550/arxiv.2508.08873 · pith_short_12: SGP6NGYIRBTH · pith_short_16: SGP6NGYIRBTH5WFB · pith_short_8: SGP6NGYI

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/SGP6NGYIRBTH5WFBGOUGYRCAMQ \
  | 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: 919fe69b0888667ed8a133a86c44406439bd960561f82033fcda3f8fa3b74ab0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5681408d7e8766c0d2f414b2463e7245cb32e169924f657e2f30456d0756163",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-08-12T11:59:08Z",
    "title_canon_sha256": "697d4cd143e5c8bcca1fe7e943fe6b6677d6283f517044c06016776e76ddb9d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.08873",
    "kind": "arxiv",
    "version": 2
  }
}