Pith Number

pith:QUOB33A2

pith:2016:QUOB33A2HHEHN3Z6DEGJLLZTWL

not attested not anchored not stored refs pending

Dense output for strong stability preserving Runge-Kutta methods

Adil Kusmanov, Aliya Jangabylova, David I. Ketcheson, Lajos L\'oczi

arxiv:1605.02429 v2 · 2016-05-09 · 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{QUOB33A2HHEHN3Z6DEGJLLZTWL}

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	2026-05-18T00:58:55.200046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

851c1dec1a39c876ef3e190c95af33b2d93c791d4712c3e9d7fb85ba7cdcd06c

Aliases

arxiv: 1605.02429 · arxiv_version: 1605.02429v2 · doi: 10.48550/arxiv.1605.02429 · pith_short_12: QUOB33A2HHEH · pith_short_16: QUOB33A2HHEHN3Z6 · pith_short_8: QUOB33A2

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/QUOB33A2HHEHN3Z6DEGJLLZTWL \
  | 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: 851c1dec1a39c876ef3e190c95af33b2d93c791d4712c3e9d7fb85ba7cdcd06c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e6f6b45099bc6c400b73ac181ccb74db268b47ae0a4bd76dbc6ea65bb08c84f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-05-09T06:36:54Z",
    "title_canon_sha256": "0cd61597d91c3a83669fc956ac9f9cf4e557b9bbd6500e3924a35c588842d4d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02429",
    "kind": "arxiv",
    "version": 2
  }
}