Pith Number

pith:32VPKIJP

pith:2016:32VPKIJPPCE5YDS3SGYI5A26AM

not attested not anchored not stored refs pending

Fourth-order two-stage explicit exponential integrators for solving differential equations

Vu Thai Luan

arxiv:1606.05417 v1 · 2016-06-17 · 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{32VPKIJPPCE5YDS3SGYI5A26AM}

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	2026-05-18T01:12:19.593710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deaaf5212f7889dc0e5b91b08e835e032c40c8d7c0ff55ebb2069cb3697e7901

Aliases

arxiv: 1606.05417 · arxiv_version: 1606.05417v1 · doi: 10.48550/arxiv.1606.05417 · pith_short_12: 32VPKIJPPCE5 · pith_short_16: 32VPKIJPPCE5YDS3 · pith_short_8: 32VPKIJP

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/32VPKIJPPCE5YDS3SGYI5A26AM \
  | 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: deaaf5212f7889dc0e5b91b08e835e032c40c8d7c0ff55ebb2069cb3697e7901

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f08b02323518333d6d8e54606627d1c3fe69b995e203b9af9d04ac305d3ff2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-06-17T04:50:42Z",
    "title_canon_sha256": "b2fd2b529c7bcbf8b27f8423c0629e65b09ba52042964ba6b2ec0d399b9c7629"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05417",
    "kind": "arxiv",
    "version": 1
  }
}