Pith Number

pith:6YK4AZNH

pith:2008:6YK4AZNHRQCBTPNQL22PARADOO

not attested not anchored not stored refs pending

Implicit-Explicit Variational Integration of Highly Oscillatory Problems

Ari Stern, Eitan Grinspun

arxiv:0808.2239 v3 · 2008-08-16 · 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{6YK4AZNHRQCBTPNQL22PARADOO}

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	2026-06-03T22:06:09.048162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f615c065a78c0419bdb05eb4f04403738385b5dd0eae678fcc457494f4718251

Aliases

arxiv: 0808.2239 · arxiv_version: 0808.2239v3 · doi: 10.48550/arxiv.0808.2239 · pith_short_12: 6YK4AZNHRQCB · pith_short_16: 6YK4AZNHRQCBTPNQ · pith_short_8: 6YK4AZNH

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/6YK4AZNHRQCBTPNQL22PARADOO \
  | 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: f615c065a78c0419bdb05eb4f04403738385b5dd0eae678fcc457494f4718251

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e055fe5bb652015056b6374fde5a6b3a31f8a729e65e7dda033d1301034d1868",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2008-08-16T09:06:05Z",
    "title_canon_sha256": "ed0fd25a7e0575ab3e0aafe44d6227199f577acd851ccdd7066ca43f845acedc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2239",
    "kind": "arxiv",
    "version": 3
  }
}