Pith Number

pith:3SSRX5DN

pith:2025:3SSRX5DNZJS6V7DQI3T3PKWLY7

not attested not anchored not stored refs pending

Existence and uniqueness of solutions to Liouville equation

Alireza Ataei

arxiv:2501.18234 v1 · 2025-01-30 · 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{3SSRX5DNZJS6V7DQI3T3PKWLY7}

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

Agentic Application in Power Grid Static Analysis: Automatic Code Generation and Error Correction

Receipt and verification

First computed	2026-07-05T10:07:31.394849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dca51bf46dca65eafc7046e7b7aacbc7dc867ad259d4e1a67ebdc3dcb207d06c

Aliases

arxiv: 2501.18234 · arxiv_version: 2501.18234v1 · doi: 10.48550/arxiv.2501.18234 · pith_short_12: 3SSRX5DNZJS6 · pith_short_16: 3SSRX5DNZJS6V7DQ · pith_short_8: 3SSRX5DN

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/3SSRX5DNZJS6V7DQI3T3PKWLY7 \
  | 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: dca51bf46dca65eafc7046e7b7aacbc7dc867ad259d4e1a67ebdc3dcb207d06c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bad5e5d5d4d03359df0c5cf26e94036377be6d995a75fcf940151183fae0c798",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-01-30T09:46:31Z",
    "title_canon_sha256": "26966d9ff67ddf8b18632a16d75bf86ac95a7317777af6d8cb7380aec44c850a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.18234",
    "kind": "arxiv",
    "version": 1
  }
}