Pith Number

pith:VPQ5KB3V

pith:2013:VPQ5KB3V2CN5655NTVN7I64XIV

not attested not anchored not stored refs pending

Rosenbrock-Krylov Methods for Large Systems of Differential Equations

Adrian Sandu, Paul Tranquilli

arxiv:1305.5481 v2 · 2013-05-23 · 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{VPQ5KB3V2CN5655NTVN7I64XIV}

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	2026-05-18T02:28:29.441771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abe1d50775d09bdf77ad9d5bf47b974543fc92abe438c76a6e33d86012cc86bd

Aliases

arxiv: 1305.5481 · arxiv_version: 1305.5481v2 · doi: 10.48550/arxiv.1305.5481 · pith_short_12: VPQ5KB3V2CN5 · pith_short_16: VPQ5KB3V2CN5655N · pith_short_8: VPQ5KB3V

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/VPQ5KB3V2CN5655NTVN7I64XIV \
  | 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: abe1d50775d09bdf77ad9d5bf47b974543fc92abe438c76a6e33d86012cc86bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "662e597249e7a190c642ba4ad16f725b357e7f3e0e4d01e436c1d69b3636ab26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-05-23T16:45:29Z",
    "title_canon_sha256": "e9b351db45ddcc88395dbb65b7def7bf28b00af51e2f68ffba80f7e0f694b16b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5481",
    "kind": "arxiv",
    "version": 2
  }
}