Pith Number

pith:QUZN72BO

pith:2013:QUZN72BO75TAFPVMXGVRTZMH7Z

not attested not anchored not stored refs pending

Variable Step Size Multiscale Methods for Stiff and Highly Oscillatory Dynamical Systems

Bjorn Engquist, Yoonsang Lee

arxiv:1304.4336 v1 · 2013-04-16 · 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{QUZN72BO75TAFPVMXGVRTZMH7Z}

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	2026-05-18T03:27:53.376922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8532dfe82eff6602beacb9ab19e587fe61fa3befd89dfd08df3cf89b7f373a15

Aliases

arxiv: 1304.4336 · arxiv_version: 1304.4336v1 · doi: 10.48550/arxiv.1304.4336 · pith_short_12: QUZN72BO75TA · pith_short_16: QUZN72BO75TAFPVM · pith_short_8: QUZN72BO

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/QUZN72BO75TAFPVMXGVRTZMH7Z \
  | 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: 8532dfe82eff6602beacb9ab19e587fe61fa3befd89dfd08df3cf89b7f373a15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6897bce70b844306b8d5f6146755dcd33b93244a2baa75a6369d9a93f331381",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-04-16T06:03:43Z",
    "title_canon_sha256": "9af71391b6835fc920fb2faca6c50cc5aca13ddfdc7fcd8f3309137839fe1870"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4336",
    "kind": "arxiv",
    "version": 1
  }
}