Pith Number

pith:GGXD4DW6

pith:2017:GGXD4DW6RQKYPWXLHREQDEXV6G

not attested not anchored not stored refs pending

Dealing with Rational Second Order Ordinary Differential Equations where both Darboux and Lie Find It Difficult: The $S$-function Method

J. Avellar, L.A.C.P. da Mota, L.G.S. Duarte, M.S. Cardoso

arxiv:1707.09007 v1 · 2017-07-27 · math-ph · cs.SC · 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{GGXD4DW6RQKYPWXLHREQDEXV6G}

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	2026-05-18T00:04:00.478623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31ae3e0ede8c1587daeb3c490192f5f197a890feb87d670f107f4ec73edd8d08

Aliases

arxiv: 1707.09007 · arxiv_version: 1707.09007v1 · doi: 10.48550/arxiv.1707.09007 · pith_short_12: GGXD4DW6RQKY · pith_short_16: GGXD4DW6RQKYPWXL · pith_short_8: GGXD4DW6

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/GGXD4DW6RQKYPWXLHREQDEXV6G \
  | 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: 31ae3e0ede8c1587daeb3c490192f5f197a890feb87d670f107f4ec73edd8d08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7e71fa2545e2d5cc02a9c9b9ba3eef0249f2b217faf406547c60359cae17e35",
    "cross_cats_sorted": [
      "cs.SC",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-07-27T19:22:36Z",
    "title_canon_sha256": "9b5ef9f3b1cfb5c389065550f44ad16c84788a02a4e7736d82f0f29a33bde622"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09007",
    "kind": "arxiv",
    "version": 1
  }
}