pith. sign in
Pith Number

pith:ZOIG4A3U

pith:2015:ZOIG4A3UBGXNOVGXGYOUCXFOXW
not attested not anchored not stored refs pending

Global Classical Solutions of the one and one-half dimensional Vlasov-Maxwell Fokker-Planck System

Jack Schaeffer, Stephen Pankavich

arxiv:1502.01777 v2 · 2015-02-06 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZOIG4A3UBGXNOVGXGYOUCXFOXW}

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 2026-05-18T00:51:58.417031Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cb906e037409aed754d7361d415caebda71decf1253f895e137540562a69b1e3

Aliases

arxiv: 1502.01777 · arxiv_version: 1502.01777v2 · doi: 10.48550/arxiv.1502.01777 · pith_short_12: ZOIG4A3UBGXN · pith_short_16: ZOIG4A3UBGXNOVGX · pith_short_8: ZOIG4A3U
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZOIG4A3UBGXNOVGXGYOUCXFOXW \
  | 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: cb906e037409aed754d7361d415caebda71decf1253f895e137540562a69b1e3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "104d45178de09f039dd785ae4b1c0d5a35377f5fb9f2a45c42a24c0f101d4b5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-06T02:16:01Z",
    "title_canon_sha256": "6f8ef86b12f4e4639d4292ac20a66c7ff98a759b429c79754952512f0c8a4af9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01777",
    "kind": "arxiv",
    "version": 2
  }
}