Pith Number

pith:L36Z3P6L

pith:2017:L36Z3P6LRQ77YZ4WSB5Y6JDUWI

not attested not anchored not stored refs pending

Lagrangian solutions to the Vlasov-Poisson system with a point charge

Chiara Saffirio, Gianluca Crippa, Silvia Ligabue

arxiv:1705.08077 v2 · 2017-05-23 · 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{L36Z3P6LRQ77YZ4WSB5Y6JDUWI}

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	2026-05-18T00:15:42.224574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5efd9dbfcb8c3ffc6796907b8f2474b22ba1c7056c7e90acda570e6b0784914c

Aliases

arxiv: 1705.08077 · arxiv_version: 1705.08077v2 · doi: 10.48550/arxiv.1705.08077 · pith_short_12: L36Z3P6LRQ77 · pith_short_16: L36Z3P6LRQ77YZ4W · pith_short_8: L36Z3P6L

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/L36Z3P6LRQ77YZ4WSB5Y6JDUWI \
  | 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: 5efd9dbfcb8c3ffc6796907b8f2474b22ba1c7056c7e90acda570e6b0784914c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0edf924920a1b28b9456a3be94ffc7aaeb4eff741783a0c8b2ee6dc362abf008",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-23T05:18:07Z",
    "title_canon_sha256": "d62de43964cc722874335b1e7fb7323ccaecc680b4afd13f8a5fd034c04e81ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08077",
    "kind": "arxiv",
    "version": 2
  }
}