Pith Number

pith:YVUAJTAS

pith:2016:YVUAJTAS2NLTY6LHOYBOZ3IJZQ

not attested not anchored not stored refs pending

Oscillating solutions of the Vlasov-Poisson system -- A numerical investigation

Gerhard Rein, Tobias Ramming

arxiv:1602.07989 v1 · 2016-02-24 · math-ph · astro-ph.GA · gr-qc · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YVUAJTAS2NLTY6LHOYBOZ3IJZQ}

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	2026-05-18T00:26:37.967981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c56804cc12d3573c79677602eced09cc3d64a815995d90753ade14b20d48b8e7

Aliases

arxiv: 1602.07989 · arxiv_version: 1602.07989v1 · doi: 10.48550/arxiv.1602.07989 · pith_short_12: YVUAJTAS2NLT · pith_short_16: YVUAJTAS2NLTY6LH · pith_short_8: YVUAJTAS

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/YVUAJTAS2NLTY6LHOYBOZ3IJZQ \
  | 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: c56804cc12d3573c79677602eced09cc3d64a815995d90753ade14b20d48b8e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84076d5d196b1b7ba8d1805bf3addf2a618948bf9febd0b174a25e1aa0a70445",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "gr-qc",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-02-24T13:32:32Z",
    "title_canon_sha256": "074b56ec19444a3a53a475f0b9464b58a7c38529366bb480e0c514681b5aa46a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07989",
    "kind": "arxiv",
    "version": 1
  }
}