Pith Number

pith:KJOGUVW2

pith:2014:KJOGUVW2ZMQM5FHMYJV36K4EEP

not attested not anchored not stored refs pending

Model Reduction of Kinetic Equations by Operator Projection

Julian Koellermeier, Jun Li, Manuel Torrilhon, Ruo Li, Yuwei Fan

arxiv:1412.7296 v2 · 2014-12-23 · 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{KJOGUVW2ZMQM5FHMYJV36K4EEP}

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	2026-05-18T01:20:47.217891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

525c6a56dacb20ce94ecc26bbf2b8423f6fff01ede14c5022af1e0e9b525bcfc

Aliases

arxiv: 1412.7296 · arxiv_version: 1412.7296v2 · doi: 10.48550/arxiv.1412.7296 · pith_short_12: KJOGUVW2ZMQM · pith_short_16: KJOGUVW2ZMQM5FHM · pith_short_8: KJOGUVW2

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/KJOGUVW2ZMQM5FHMYJV36K4EEP \
  | 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: 525c6a56dacb20ce94ecc26bbf2b8423f6fff01ede14c5022af1e0e9b525bcfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35e1c00cf41b52f1c26ad94a4c0d3daad2c419ad2baf61c9fb92e7133851f123",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-12-23T09:35:28Z",
    "title_canon_sha256": "7f2b0216decce04c05240c51d787264b42458c1444f89f1409623b006250ae8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7296",
    "kind": "arxiv",
    "version": 2
  }
}