Pith Number

pith:KTAF26Y7

pith:2024:KTAF26Y76OLSTVRDYSU33AFJAP

not attested not anchored not stored refs pending

Structure-Preserving Operator Learning: Modeling the Collision Operator of Kinetic Equations

Jae Yong Lee, Martin Frank, Sebastian Krumscheid, Steffen Schotth\"ofer, Tianbai Xiao

arxiv:2402.16613 v1 · 2024-02-26 · math.NA · cs.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KTAF26Y76OLSTVRDYSU33AFJAP}

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	2026-07-05T07:49:24.330690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54c05d7b1ff39729d623c4a9bd80a903da0f68983f649d5adc84007124399ade

Aliases

arxiv: 2402.16613 · arxiv_version: 2402.16613v1 · doi: 10.48550/arxiv.2402.16613 · pith_short_12: KTAF26Y76OLS · pith_short_16: KTAF26Y76OLSTVRD · pith_short_8: KTAF26Y7

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/KTAF26Y76OLSTVRDYSU33AFJAP \
  | 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: 54c05d7b1ff39729d623c4a9bd80a903da0f68983f649d5adc84007124399ade

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b298fd214e7a51fc6ebf7056b9a9dc3052e2a60887a3da237f80d54d88c7138",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-02-26T14:43:17Z",
    "title_canon_sha256": "fafc63b69fb2974df8387f08b7ab994678cdb98dbfd2a611e2739058a4879348"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.16613",
    "kind": "arxiv",
    "version": 1
  }
}