Pith Number

pith:RGK7M3Z7

pith:2010:RGK7M3Z7N34LN5NOTHPPSQRZ4P

not attested not anchored not stored refs pending

Liouville theorem with parameters: asymptotics of certain rational integrals in differential fields

Ma{\l}gorzata Stawiska

arxiv:1004.5536 v1 · 2010-04-29 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RGK7M3Z7N34LN5NOTHPPSQRZ4P}

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	2026-05-18T02:24:09.837347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8995f66f3f6ef8b6f5ae99def94239e3e323cf343638788d0b196d44e9f17898

Aliases

arxiv: 1004.5536 · arxiv_version: 1004.5536v1 · doi: 10.48550/arxiv.1004.5536 · pith_short_12: RGK7M3Z7N34L · pith_short_16: RGK7M3Z7N34LN5NO · pith_short_8: RGK7M3Z7

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/RGK7M3Z7N34LN5NOTHPPSQRZ4P \
  | 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: 8995f66f3f6ef8b6f5ae99def94239e3e323cf343638788d0b196d44e9f17898

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e44f138dd759a524532fd2f1918dbe6a404cbeeecaac8eca66665e8e5d1791c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-04-29T17:30:32Z",
    "title_canon_sha256": "1137dac4ecd6dbfe4a41981f2355dac8e7072ba999ada216dcce3308923aa1e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5536",
    "kind": "arxiv",
    "version": 1
  }
}