Pith Number

pith:M4QPD7ZX

pith:2015:M4QPD7ZXNNWNXMTKLG3EE3TT7Z

not attested not anchored not stored refs pending

Small data solutions of the Vlasov-Poisson system and the vector field method

Jacques Smulevici

arxiv:1504.02195 v1 · 2015-04-09 · 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{M4QPD7ZXNNWNXMTKLG3EE3TT7Z}

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	2026-05-18T02:19:15.788357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6720f1ff376b6cdbb26a59b6426e73fe5ba5e715ea4c52c59bb5cb96fb8a2249

Aliases

arxiv: 1504.02195 · arxiv_version: 1504.02195v1 · doi: 10.48550/arxiv.1504.02195 · pith_short_12: M4QPD7ZXNNWN · pith_short_16: M4QPD7ZXNNWNXMTK · pith_short_8: M4QPD7ZX

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/M4QPD7ZXNNWNXMTKLG3EE3TT7Z \
  | 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: 6720f1ff376b6cdbb26a59b6426e73fe5ba5e715ea4c52c59bb5cb96fb8a2249

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f087ade840213cec0b276570bcb2b3a13d66e3702e995b1258c15bfa015b56b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-09T05:57:23Z",
    "title_canon_sha256": "e766d6c36bfba6d41b01d3ea7814e99c48338f93e8a4e3e47d9c5de1551151b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02195",
    "kind": "arxiv",
    "version": 1
  }
}