Pith Number

pith:QLOTAOWY

pith:2013:QLOTAOWYSAVF5U2FT6JAQ6RZOB

not attested not anchored not stored refs pending

Symmetry analysis of a class of autonomous even-order ordinary differential equations

Igor Leite Freire, Priscila Leal da Silva

arxiv:1311.0313 v3 · 2013-11-01 · math-ph · math.CA · 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{QLOTAOWYSAVF5U2FT6JAQ6RZOB}

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	2026-05-18T01:49:56.153629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82dd303ad8902a5ed3459f92087a397071ba716741583e6ade35f74eb4ca59a2

Aliases

arxiv: 1311.0313 · arxiv_version: 1311.0313v3 · doi: 10.48550/arxiv.1311.0313 · pith_short_12: QLOTAOWYSAVF · pith_short_16: QLOTAOWYSAVF5U2F · pith_short_8: QLOTAOWY

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/QLOTAOWYSAVF5U2FT6JAQ6RZOB \
  | 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: 82dd303ad8902a5ed3459f92087a397071ba716741583e6ade35f74eb4ca59a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b50fddbc6ab76407925996398a209c6fbdc548703679448b4a4575c52d2f5eb",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-01T21:22:49Z",
    "title_canon_sha256": "605e2362e0d8d2941f9b9e2c435d8fc727ae5fc256a7b5b8a41871e137f9266b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0313",
    "kind": "arxiv",
    "version": 3
  }
}