Pith Number

pith:EKVU5MVE

pith:2014:EKVU5MVEA2NTYJW5WA6K3BPRBJ

not attested not anchored not stored refs pending

Lie group classification and invariant exact solutions of the generalized Kompaneets equations

Oleksii Patsiuk

arxiv:1404.1902 v1 · 2014-04-04 · 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{EKVU5MVEA2NTYJW5WA6K3BPRBJ}

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	2026-05-18T02:17:33.865979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22ab4eb2a4069b3c26ddb03cad85f10a776f3a7c7e502bef22d371bdcd58ada3

Aliases

arxiv: 1404.1902 · arxiv_version: 1404.1902v1 · doi: 10.48550/arxiv.1404.1902 · pith_short_12: EKVU5MVEA2NT · pith_short_16: EKVU5MVEA2NTYJW5 · pith_short_8: EKVU5MVE

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/EKVU5MVEA2NTYJW5WA6K3BPRBJ \
  | 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: 22ab4eb2a4069b3c26ddb03cad85f10a776f3a7c7e502bef22d371bdcd58ada3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "547231fe878831067650b1651d9ab52176c069c6ced287c61d24c7942ecfde9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-04-04T09:31:46Z",
    "title_canon_sha256": "b90ee2b98aab27cb73e05a3d72d8438dfe1e333fdf92459f50155955439fcb0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1902",
    "kind": "arxiv",
    "version": 1
  }
}