pith. sign in
Pith Number

pith:MY6IJL4D

pith:2008:MY6IJL4D5B5YYTRZRYIPMA45WH
not attested not anchored not stored refs pending

Distributional solutions to the Maxwell-Vlasov equations

Jonathan Gratus

arxiv:0809.2944 v1 · 2008-09-17 · physics.acc-ph · physics.plasm-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MY6IJL4D5B5YYTRZRYIPMA45WH}

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 2026-05-18T04:25:28.834455Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

663c84af83e87b8c4e398e10f6039db1e33d8001c1747146027dcd7ed54ffac2

Aliases

arxiv: 0809.2944 · arxiv_version: 0809.2944v1 · doi: 10.48550/arxiv.0809.2944 · pith_short_12: MY6IJL4D5B5Y · pith_short_16: MY6IJL4D5B5YYTRZ · pith_short_8: MY6IJL4D
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MY6IJL4D5B5YYTRZRYIPMA45WH \
  | 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: 663c84af83e87b8c4e398e10f6039db1e33d8001c1747146027dcd7ed54ffac2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ccd06a306881f91320067ead26e4937d0fc1f1f558441422bff9152bd82aec2b",
    "cross_cats_sorted": [
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.acc-ph",
    "submitted_at": "2008-09-17T15:00:31Z",
    "title_canon_sha256": "6fcaf42e41ec71747d6018d0457493e2d334e02b29a70cf891c6cbbce9052324"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.2944",
    "kind": "arxiv",
    "version": 1
  }
}