Pith Number

pith:U2AWHHHH

pith:2014:U2AWHHHHWRBP2PKIOFV4B3F5ZS

not attested not anchored not stored refs pending

Exponential-Krylov methods for ordinary differential equations

Adrian Sandu, Paul Tranquilli

arxiv:1401.2125 v2 · 2014-01-09 · cs.NA · 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{U2AWHHHHWRBP2PKIOFV4B3F5ZS}

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	2026-05-18T02:28:23.179710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a681639ce7b442fd3d48716bc0ecbdcc805f51104f6953086f4f50d7a3fa3c78

Aliases

arxiv: 1401.2125 · arxiv_version: 1401.2125v2 · doi: 10.48550/arxiv.1401.2125 · pith_short_12: U2AWHHHHWRBP · pith_short_16: U2AWHHHHWRBP2PKI · pith_short_8: U2AWHHHH

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/U2AWHHHHWRBP2PKIOFV4B3F5ZS \
  | 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: a681639ce7b442fd3d48716bc0ecbdcc805f51104f6953086f4f50d7a3fa3c78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61e41b18abb0c48d419ec5cd601567a3dd40a15182f8593dde376144e17533ae",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2014-01-09T19:17:40Z",
    "title_canon_sha256": "86355cab161cd92c6c6e6b3f48fea70db3061a45ec10b8daaf9652cf453b1b50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2125",
    "kind": "arxiv",
    "version": 2
  }
}