Pith Number

pith:RHZ6XAL3

pith:2010:RHZ6XAL3CV5LYD5NTQ2WYDW2FB

not attested not anchored not stored refs pending

Symplectic schemes for highly oscillatory Hamiltonian systems: the homogenization approach beyond the constant frequency case

Claude Le Bris, Frederic Legoll, Matthew Dobson

arxiv:1008.1030 v1 · 2010-08-05 · 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{RHZ6XAL3CV5LYD5NTQ2WYDW2FB}

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	2026-05-18T04:42:34.739243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89f3eb817b157abc0fad9c356c0eda28493a4d100ef1d902716c237108d727d2

Aliases

arxiv: 1008.1030 · arxiv_version: 1008.1030v1 · doi: 10.48550/arxiv.1008.1030 · pith_short_12: RHZ6XAL3CV5L · pith_short_16: RHZ6XAL3CV5LYD5N · pith_short_8: RHZ6XAL3

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/RHZ6XAL3CV5LYD5NTQ2WYDW2FB \
  | 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: 89f3eb817b157abc0fad9c356c0eda28493a4d100ef1d902716c237108d727d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "206d01515df4ca98fccdcebb180cb68c6c166de00b7140a0f4c60292ef95d548",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-08-05T17:59:17Z",
    "title_canon_sha256": "85cf28ebbf1e788ccf37862784257e8aee9c8bde56e8e5737475c877f2b07876"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1030",
    "kind": "arxiv",
    "version": 1
  }
}