Pith Number

pith:6446CDTT

pith:2016:6446CDTTETE3TB6LXBEGN3RTML

not attested not anchored not stored refs pending

Particles interacting with a vibrating medium: existence of solutions and convergence to the Vlasov--Poisson system

Arthur Vavasseur (COFFEE, JAD), Stephan De Bi\`evre (MEPHYSTO), Thierry Goudon (COFFEE

arxiv:1603.03575 v1 · 2016-03-11 · 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{6446CDTTETE3TB6LXBEGN3RTML}

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	2026-05-18T01:19:15.291443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f739e10e7324c9b987cbb84866ee3362f47b4cf21448a3ff012734bfae8d3b5d

Aliases

arxiv: 1603.03575 · arxiv_version: 1603.03575v1 · doi: 10.48550/arxiv.1603.03575 · pith_short_12: 6446CDTTETE3 · pith_short_16: 6446CDTTETE3TB6L · pith_short_8: 6446CDTT

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/6446CDTTETE3TB6LXBEGN3RTML \
  | 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: f739e10e7324c9b987cbb84866ee3362f47b4cf21448a3ff012734bfae8d3b5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5a20aa344a9570f822a25cf3770a4d2ff11d0f9aa41c1ee81d068f001680012",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-11T09:28:11Z",
    "title_canon_sha256": "d2f56877b95176822ae0358ef3752fe86e870b7d0c61f68b6315c75d832ca310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03575",
    "kind": "arxiv",
    "version": 1
  }
}