Pith Number

pith:UZWG3ASN

pith:2014:UZWG3ASNPWSW6ELYP54TXIRUEK

not attested not anchored not stored refs pending

Lagrangian solutions to the Vlasov-Poisson system with L^1 density

Anna Bohun, Francois Bouchut, Gianluca Crippa

arxiv:1412.6358 v1 · 2014-12-19 · 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{UZWG3ASNPWSW6ELYP54TXIRUEK}

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	2026-05-18T02:30:53.716562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a66c6d824d7da56f11787f793ba23422a8e0169e82c31274ac95a74d754c543d

Aliases

arxiv: 1412.6358 · arxiv_version: 1412.6358v1 · doi: 10.48550/arxiv.1412.6358 · pith_short_12: UZWG3ASNPWSW · pith_short_16: UZWG3ASNPWSW6ELY · pith_short_8: UZWG3ASN

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/UZWG3ASNPWSW6ELYP54TXIRUEK \
  | 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: a66c6d824d7da56f11787f793ba23422a8e0169e82c31274ac95a74d754c543d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2c3267b2a6f5c0a7456b7d0961ef30fb44039ff2dce91e46c4a18139dd60b20",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-19T14:43:47Z",
    "title_canon_sha256": "15bc43421345bd70131cb0bd78ebd58083b4e36cd7f6abdffc82027bdb277526"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6358",
    "kind": "arxiv",
    "version": 1
  }
}