Pith Number

pith:FUKZUO3K

pith:2013:FUKZUO3KJP2R64CXTRXNYAAZRN

not attested not anchored not stored refs pending

Enhanced HBVMs for the numerical solution of Hamiltonian problems with multiple invariants

Luigi Brugnano, Yajuan Sun

arxiv:1306.2438 v1 · 2013-06-11 · 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{FUKZUO3KJP2R64CXTRXNYAAZRN}

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	2026-05-18T03:09:48.266278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d159a3b6a4bf51f70579c6edc00198b603e7aa33a56f67e808d95bbc17e6194

Aliases

arxiv: 1306.2438 · arxiv_version: 1306.2438v1 · doi: 10.48550/arxiv.1306.2438 · pith_short_12: FUKZUO3KJP2R · pith_short_16: FUKZUO3KJP2R64CX · pith_short_8: FUKZUO3K

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/FUKZUO3KJP2R64CXTRXNYAAZRN \
  | 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: 2d159a3b6a4bf51f70579c6edc00198b603e7aa33a56f67e808d95bbc17e6194

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f55492569d72069223b152603ed46902ea331dc1acad18014a306a6364dfa39f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-06-11T07:10:10Z",
    "title_canon_sha256": "6cd32381ff28a2b5706048166dab7ba5d9b703d53e7acdc33d233123b0a96157"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2438",
    "kind": "arxiv",
    "version": 1
  }
}