pith. sign in
Pith Number

pith:4KRLBAV5

pith:2014:4KRLBAV5XX3FIP4WBOL66ZCI7W
not attested not anchored not stored refs pending

Interplay of symmetries, null forms, Darboux polynomials, integrating factors and Jacobi multipliers in integrable second order differential equations

M. Lakshmanan, M. Senthilvelan, R. Mohanasubha, V. K. Chandrasekar

arxiv:1401.1359 v1 · 2014-01-07 · nlin.SI · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4KRLBAV5XX3FIP4WBOL66ZCI7W}

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 2026-05-18T00:51:19.286566Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e2a2b082bdbdf6543f960b97ef6448fd888b02daeadfd6962b34b9da8fec18e8

Aliases

arxiv: 1401.1359 · arxiv_version: 1401.1359v1 · doi: 10.48550/arxiv.1401.1359 · pith_short_12: 4KRLBAV5XX3F · pith_short_16: 4KRLBAV5XX3FIP4W · pith_short_8: 4KRLBAV5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4KRLBAV5XX3FIP4WBOL66ZCI7W \
  | 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: e2a2b082bdbdf6543f960b97ef6448fd888b02daeadfd6962b34b9da8fec18e8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "de7f41f36823fe8aa93879c6e6f56d01f759db505578ac625d58b454b78562d2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2014-01-07T12:54:44Z",
    "title_canon_sha256": "6e09f5e77a99ce186e281292175ead742bfe4265849022022088d2737c7eff37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1359",
    "kind": "arxiv",
    "version": 1
  }
}