Pith Number

pith:APLNN526

pith:2023:APLNN526XZ7JFP2X66PZGFFR5I

not attested not anchored not stored refs pending

Spectral Closure for the Linear Boltzmann-BGK Equation

Florian Kogelbauer, Ilya Karlin

arxiv:2306.07103 v1 · 2023-06-12 · 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{APLNN526XZ7JFP2X66PZGFFR5I}

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.

Cited by

1 paper in Pith

Learning the Optimal Hydrodynamic Closure

Receipt and verification

First computed	2026-07-05T06:19:47.698236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03d6d6f75ebe7e92bf57f79f9314b1ea2ca7049082ab09d79fd54130167313a0

Aliases

arxiv: 2306.07103 · arxiv_version: 2306.07103v1 · doi: 10.48550/arxiv.2306.07103 · pith_short_12: APLNN526XZ7J · pith_short_16: APLNN526XZ7JFP2X · pith_short_8: APLNN526

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/APLNN526XZ7JFP2X66PZGFFR5I \
  | 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: 03d6d6f75ebe7e92bf57f79f9314b1ea2ca7049082ab09d79fd54130167313a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b2370c85054f123eb18ccd25eb7eb4440304b00bd964d3918107d88f4aa795a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-06-12T13:27:48Z",
    "title_canon_sha256": "02d0e3fb3b67cb836b2ef34f23c4b375fdbdc243f48f8902cede05d9ac61c47f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.07103",
    "kind": "arxiv",
    "version": 1
  }
}