Pith Number

pith:U2NPNJZB

pith:2015:U2NPNJZBDGGUSABH4ULY64AVDC

not attested not anchored not stored refs pending

An implicit algorithm for validated enclosures of the solutions to variational equations for ODEs

Daniel Wilczak, Irmina Walawska

arxiv:1509.07388 v3 · 2015-09-24 · math.NA · cs.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{U2NPNJZBDGGUSABH4ULY64AVDC}

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	2026-06-04T17:09:38.639538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a69af6a721198d490027e5178f701518910cfbab8fa9f7865320091c1dc90fdc

Aliases

arxiv: 1509.07388 · arxiv_version: 1509.07388v3 · doi: 10.48550/arxiv.1509.07388 · pith_short_12: U2NPNJZBDGGU · pith_short_16: U2NPNJZBDGGUSABH · pith_short_8: U2NPNJZB

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/U2NPNJZBDGGUSABH4ULY64AVDC \
  | 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: a69af6a721198d490027e5178f701518910cfbab8fa9f7865320091c1dc90fdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94612dd589bca5bd9b93df7f11faaafccabebc6b3d3db5199b4a994f16673a26",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-09-24T14:33:55Z",
    "title_canon_sha256": "fcdc52dab72119d850b61dc1cbb0aaddb65b1c7ac97ff660867e0c1e1e695972"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07388",
    "kind": "arxiv",
    "version": 3
  }
}