Pith Number

pith:JNDEP3ZA

pith:2017:JNDEP3ZAHUBLWWJSMJT2OC2PEG

not attested not anchored not stored refs pending

The Lagrangian structure of the Vlasov-Poisson system in domains with specular reflection

Xavier Fern\'andez-Real

arxiv:1712.01138 v2 · 2017-12-04 · 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{JNDEP3ZAHUBLWWJSMJT2OC2PEG}

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	2026-05-18T00:04:59.981550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b4647ef203d02bb59326267a70b4f21a53b8fd2b9ce2c78fe39bd56d6372600

Aliases

arxiv: 1712.01138 · arxiv_version: 1712.01138v2 · doi: 10.48550/arxiv.1712.01138 · pith_short_12: JNDEP3ZAHUBL · pith_short_16: JNDEP3ZAHUBLWWJS · pith_short_8: JNDEP3ZA

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/JNDEP3ZAHUBLWWJSMJT2OC2PEG \
  | 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: 4b4647ef203d02bb59326267a70b4f21a53b8fd2b9ce2c78fe39bd56d6372600

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dda402fe9f77f3b1ad892a33fad76e669aa5c31a15ed9a3c22791bcd41464d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-04T15:07:03Z",
    "title_canon_sha256": "0ac221d73324bfd71637c7f168a6217a93f3f64f7afee192b816d4381850331c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01138",
    "kind": "arxiv",
    "version": 2
  }
}