Pith Number

pith:EQFAYCNB

pith:2013:EQFAYCNBVN4NDTC2XA7IJWAUPI

not attested not anchored not stored refs pending

Liouvillian Propagators, Riccati Equation and Differential Galois Theory

Erwin Suazo, Primitivo B. Acosta-Hum\'anez

arxiv:1304.5698 v2 · 2013-04-21 · 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{EQFAYCNBVN4NDTC2XA7IJWAUPI}

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	2026-05-18T01:50:24.061952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

240a0c09a1ab78d1cc5ab83e84d8147a2bda83b3378b96e9b89ec8849f38548d

Aliases

arxiv: 1304.5698 · arxiv_version: 1304.5698v2 · doi: 10.48550/arxiv.1304.5698 · pith_short_12: EQFAYCNBVN4N · pith_short_16: EQFAYCNBVN4NDTC2 · pith_short_8: EQFAYCNB

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/EQFAYCNBVN4NDTC2XA7IJWAUPI \
  | 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: 240a0c09a1ab78d1cc5ab83e84d8147a2bda83b3378b96e9b89ec8849f38548d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bc27060b2c8baaf7fe9161192cdb9c7a0bef7aeeddf6dd370007155f32382a3",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-04-21T06:45:01Z",
    "title_canon_sha256": "7ba13a847ca190b539917a82f2f00c2ed3c8b112e4a80a180ab94651c205dd1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5698",
    "kind": "arxiv",
    "version": 2
  }
}