Pith Number

pith:XVGRYKEI

pith:2013:XVGRYKEIYQDTJYY5BXIFACDK5A

not attested not anchored not stored refs pending

Negative Sobolev Spaces and the Two-species Vlasov-Maxwell-Landau System in the Whole Space

Huijiang Zhao, Yuanjie Lei

arxiv:1309.6388 v1 · 2013-09-25 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XVGRYKEIYQDTJYY5BXIFACDK5A}

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	2026-05-18T03:12:21.324740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd4d1c2888c40734e31d0dd050086ae81da00730936d2b97a04e8146764f51ab

Aliases

arxiv: 1309.6388 · arxiv_version: 1309.6388v1 · doi: 10.48550/arxiv.1309.6388 · pith_short_12: XVGRYKEIYQDT · pith_short_16: XVGRYKEIYQDTJYY5 · pith_short_8: XVGRYKEI

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/XVGRYKEIYQDTJYY5BXIFACDK5A \
  | 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: bd4d1c2888c40734e31d0dd050086ae81da00730936d2b97a04e8146764f51ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a1f07a83679c5955b3bb1afee80ef1ca82522811ec2ed15501324ff56a8809c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-25T02:59:21Z",
    "title_canon_sha256": "e08afef4b62d60d9dffe540257fba42bd3cb4dc1eb907b4041afb0ec892e9dd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6388",
    "kind": "arxiv",
    "version": 1
  }
}