Pith Number

pith:XGYWQ7ZD

pith:2007:XGYWQ7ZDT6EXFKR2SJTQ3ZRZ2Z

not attested not anchored not stored refs pending

Long time simulation of a beam in a periodic focusing channel via a two-scale PIC-method

Emmanuel Fr\'enod (LMAM, Eric Sonnendr\"ucker (IRMA, Francesco Salvarani, Inria Lorraine / Iecn / Lsiit / Irma), Lemel)

arxiv:0710.3983 v1 · 2007-10-22 · 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{XGYWQ7ZDT6EXFKR2SJTQ3ZRZ2Z}

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	2026-06-03T22:06:02.902163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9b1687f239f8972aa3a92670de639d67ceebfd39fe27766ff7c16af1ec05000

Aliases

arxiv: 0710.3983 · arxiv_version: 0710.3983v1 · doi: 10.48550/arxiv.0710.3983 · pith_short_12: XGYWQ7ZDT6EX · pith_short_16: XGYWQ7ZDT6EXFKR2 · pith_short_8: XGYWQ7ZD

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/XGYWQ7ZDT6EXFKR2SJTQ3ZRZ2Z \
  | 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: b9b1687f239f8972aa3a92670de639d67ceebfd39fe27766ff7c16af1ec05000

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78595373496225b0166e91ea64f0d73a14e347d753c7cff7f4f5e5ac60a6da08",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2007-10-22T06:35:18Z",
    "title_canon_sha256": "17703a2072814491cd661f33309b205cba8f0bd046e6ed74067c7f71350baec1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.3983",
    "kind": "arxiv",
    "version": 1
  }
}