Pith Number

pith:FSQ3LDQP

pith:2018:FSQ3LDQPZRMA4PPNVQZ4NH2XPP

not attested not anchored not stored refs pending

Invariant density & time asymptotics for collisionless kinetic equations with partly diffuse boundary operators

Bertrand Lods, Mustapha Mokhtar-Kharroubi, Ryszard Rudnicki

arxiv:1812.05397 v2 · 2018-12-13 · math.AP · math-ph · 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{FSQ3LDQPZRMA4PPNVQZ4NH2XPP}

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	2026-05-17T23:49:14.793303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ca1b58e0fcc580e3dedac33c69f577bef7d36e18a2237ac344d602252d4cbd5

Aliases

arxiv: 1812.05397 · arxiv_version: 1812.05397v2 · doi: 10.48550/arxiv.1812.05397 · pith_short_12: FSQ3LDQPZRMA · pith_short_16: FSQ3LDQPZRMA4PPN · pith_short_8: FSQ3LDQP

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/FSQ3LDQPZRMA4PPNVQZ4NH2XPP \
  | 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: 2ca1b58e0fcc580e3dedac33c69f577bef7d36e18a2237ac344d602252d4cbd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68721055d0d1e152ef13a755480f4df0c04b81be89eeb7fbb7fa8beadfacd8f5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-13T13:01:18Z",
    "title_canon_sha256": "2766da39315b2d2fdd898cbe717d0968a47f3856c496c1b88cf79be6c8fe3fa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05397",
    "kind": "arxiv",
    "version": 2
  }
}