Pith Number

pith:5WMDL3JZ

pith:2013:5WMDL3JZCXEHRB5FBWBWN62YCN

not attested not anchored not stored refs pending

An exponential integrator for a highly oscillatory Vlasov equation

Emmanuel Frenod (LMBA, Eric Sonnendr\"ucker, INRIA Nancy - Grand Est / IECN / LSIIT / IRMA), Irma), Sever Adrian Hirstoaga (INRIA Nancy - Grand Est / IECN / LSIIT / IRMA

arxiv:1306.3080 v1 · 2013-06-13 · 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{5WMDL3JZCXEHRB5FBWBWN62YCN}

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	2026-05-18T03:20:59.645302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed9835ed3915c87887a50d8366fb581360417ba93a288eb0a4adb4ac5cda3bdd

Aliases

arxiv: 1306.3080 · arxiv_version: 1306.3080v1 · doi: 10.48550/arxiv.1306.3080 · pith_short_12: 5WMDL3JZCXEH · pith_short_16: 5WMDL3JZCXEHRB5F · pith_short_8: 5WMDL3JZ

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/5WMDL3JZCXEHRB5FBWBWN62YCN \
  | 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: ed9835ed3915c87887a50d8366fb581360417ba93a288eb0a4adb4ac5cda3bdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c71b5afaab9ddb53f2b31941099446d40999a3d5761c524d84744427ef380dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-06-13T11:19:26Z",
    "title_canon_sha256": "43c356a37793274a6a4e07288ed7af3b40ddf2225f8ff972d15a7442efc0097f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3080",
    "kind": "arxiv",
    "version": 1
  }
}