Pith Number

pith:5LEOMUCP

pith:2016:5LEOMUCPEAD2KFJHMNQDOXDXLI

not attested not anchored not stored refs pending

The number of polynomial solutions of polynomial Riccati equations

Armengol Gasull, Joan Torregrosa, Xiang Zhang

arxiv:1602.03503 v1 · 2016-02-10 · math.CA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5LEOMUCPEAD2KFJHMNQDOXDXLI}

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	2026-05-18T01:20:59.789247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eac8e6504f2007a515276360375c775a27901bef7cda53068fdcc6f1db62740b

Aliases

arxiv: 1602.03503 · arxiv_version: 1602.03503v1 · doi: 10.48550/arxiv.1602.03503 · pith_short_12: 5LEOMUCPEAD2 · pith_short_16: 5LEOMUCPEAD2KFJH · pith_short_8: 5LEOMUCP

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/5LEOMUCPEAD2KFJHMNQDOXDXLI \
  | 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: eac8e6504f2007a515276360375c775a27901bef7cda53068fdcc6f1db62740b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d2a1b03b07897895bbbacc85f4b5755bafc95b565b0ea0195c82ef53a81a3ef",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-02-10T20:24:30Z",
    "title_canon_sha256": "147709a20c9e6b905638e2c99dcc595aa693f98b2f0871a23a19f1d2dd44e8d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03503",
    "kind": "arxiv",
    "version": 1
  }
}