Pith Number

pith:VMT3SU3H

pith:2008:VMT3SU3H2XGE6JLKIFKYDFCBGY

not attested not anchored not stored refs pending

A Family of Multistep Methods with Zero Phase-Lag and Derivatives for the Numerical Integration of Oscillatory ODEs

D. S. Vlachos, T. E. Simos, Z. A. Anastassi

arxiv:0807.2929 v1 · 2008-07-18 · 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{VMT3SU3H2XGE6JLKIFKYDFCBGY}

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	2026-06-03T22:06:08.088859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab27b95367d5cc4f256a4155819441360a591e44048514b740d79035dfa85127

Aliases

arxiv: 0807.2929 · arxiv_version: 0807.2929v1 · doi: 10.48550/arxiv.0807.2929 · pith_short_12: VMT3SU3H2XGE · pith_short_16: VMT3SU3H2XGE6JLK · pith_short_8: VMT3SU3H

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/VMT3SU3H2XGE6JLKIFKYDFCBGY \
  | 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: ab27b95367d5cc4f256a4155819441360a591e44048514b740d79035dfa85127

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "157509cb677ed2ac678747f623585d6c4959560778dd61cfd764094f78bf5254",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2008-07-18T09:42:50Z",
    "title_canon_sha256": "cbae67ab04fb42da7454efbd0131f768088295f27d4cf95c0c90dabf454369ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.2929",
    "kind": "arxiv",
    "version": 1
  }
}