Pith Number

pith:2UV2CQVN

pith:2024:2UV2CQVN45IQIV67QKQH6FSGXF

not attested not anchored not stored refs pending

A Fully Adaptive Radau Method for the Efficient Solution of Stiff Ordinary Differential Equations at Low Tolerances

Christopher Rackauckas, Oscar Smith, Shreyas Ekanathan

arxiv:2412.14362 v2 · 2024-12-18 · math.NA · cs.MS · 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{2UV2CQVN45IQIV67QKQH6FSGXF}

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	2026-07-05T11:02:40.848763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d52ba142ade7510457df82a07f1646b955a6ae7b82a161f3d63e25a30a4987ad

Aliases

arxiv: 2412.14362 · arxiv_version: 2412.14362v2 · doi: 10.48550/arxiv.2412.14362 · pith_short_12: 2UV2CQVN45IQ · pith_short_16: 2UV2CQVN45IQIV67 · pith_short_8: 2UV2CQVN

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/2UV2CQVN45IQIV67QKQH6FSGXF \
  | 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: d52ba142ade7510457df82a07f1646b955a6ae7b82a161f3d63e25a30a4987ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a31505d069fdc7829c21c2d5a60e55bd5a8b613ff19229f2fb1162af602103f5",
    "cross_cats_sorted": [
      "cs.MS",
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-12-18T22:00:25Z",
    "title_canon_sha256": "60f9f5603614fa02fc1d6748d350aea2121b1716945cf107fe327f4d28d03367"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.14362",
    "kind": "arxiv",
    "version": 2
  }
}