Pith Number

pith:ZXDILWFL

pith:2020:ZXDILWFL7AQ6BEOI6OG6TUHY7M

not attested not anchored not stored refs pending

Asymptotic Stability of Minkowski Space-Time with non-compactly supported massless Vlasov matter

David Fajman, Jacques Smulevici, J\'er\'emie Joudioux, L\'eo Bigorgne, Maximilian Thaller

arxiv:2003.03346 v2 · 2020-03-06 · 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{ZXDILWFL7AQ6BEOI6OG6TUHY7M}

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	2026-07-05T05:00:34.984250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdc685d8abf821e091c8f38de9d0f8fb36f55021c86755f9d20acd2a9c6831ae

Aliases

arxiv: 2003.03346 · arxiv_version: 2003.03346v2 · doi: 10.48550/arxiv.2003.03346 · pith_short_12: ZXDILWFL7AQ6 · pith_short_16: ZXDILWFL7AQ6BEOI · pith_short_8: ZXDILWFL

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/ZXDILWFL7AQ6BEOI6OG6TUHY7M \
  | 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: cdc685d8abf821e091c8f38de9d0f8fb36f55021c86755f9d20acd2a9c6831ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b6e5f045def55098663cb711bfd3ac6e2d098725480b17504d1e45b51c7cded",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-03-06T18:24:31Z",
    "title_canon_sha256": "80df8e8c81ad807e1e6d50ca79af43c72383fea99f235ae54de03d3bb36eaf40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.03346",
    "kind": "arxiv",
    "version": 2
  }
}