Pith Number

pith:SZWYQAL2

pith:2012:SZWYQAL2U6RULED5FVXM74FWR4

not attested not anchored not stored refs pending

Uniformly accurate multiscale time integrators for highly oscillatory second order differential equations

Weizhu Bao, Xiaofei Zhao, Xuanchun Dong

arxiv:1212.4939 v2 · 2012-12-20 · 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{SZWYQAL2U6RULED5FVXM74FWR4}

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	2026-06-03T23:07:36.966814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

966d88017aa7a345907d2d6ecff0b68f22ad23359c9303ccc832f1c983f94975

Aliases

arxiv: 1212.4939 · arxiv_version: 1212.4939v2 · doi: 10.48550/arxiv.1212.4939 · pith_short_12: SZWYQAL2U6RU · pith_short_16: SZWYQAL2U6RULED5 · pith_short_8: SZWYQAL2

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/SZWYQAL2U6RULED5FVXM74FWR4 \
  | 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: 966d88017aa7a345907d2d6ecff0b68f22ad23359c9303ccc832f1c983f94975

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c726e239ed3dcc11cb14b6a73a4691832b8f9894824853652cf084bc023a1744",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-12-20T07:14:42Z",
    "title_canon_sha256": "defdab57416cccc8d53c25ca18c3dd0ea55b44a923068a09c870b6c8983a2df9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4939",
    "kind": "arxiv",
    "version": 2
  }
}