Pith Number

pith:2QSVRYEH

pith:2011:2QSVRYEHBKS45EP5VPIXHWS3BN

not attested not anchored not stored refs pending

A new Lie systems approach to second-order Riccati equations

C. Sard\'on, J. de Lucas, J.F. Cari\~nena

arxiv:1110.3298 v1 · 2011-10-14 · 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{2QSVRYEHBKS45EP5VPIXHWS3BN}

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	2026-05-18T03:58:38.173778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d42558e0870aa5ce91fdabd173da5b0b4456a17b6a24db23eee430c5966c807e

Aliases

arxiv: 1110.3298 · arxiv_version: 1110.3298v1 · doi: 10.48550/arxiv.1110.3298 · pith_short_12: 2QSVRYEHBKS4 · pith_short_16: 2QSVRYEHBKS45EP5 · pith_short_8: 2QSVRYEH

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/2QSVRYEHBKS45EP5VPIXHWS3BN \
  | 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: d42558e0870aa5ce91fdabd173da5b0b4456a17b6a24db23eee430c5966c807e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2e42261ca31d5966984485cd8f1f79b27791456f66b1eece67a20c0951127b5",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-14T18:50:07Z",
    "title_canon_sha256": "3567d1aa5e15f920834c60cc5a822caffc945661d29d6935df6674f3db5cb3af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3298",
    "kind": "arxiv",
    "version": 1
  }
}