Pith Number

pith:MZQ5SC2S

pith:2018:MZQ5SC2SE4XHQ5W6RVGCGZ5KKO

not attested not anchored not stored refs pending

Two lectures on the center-focus problem for the equation $\frac{dy}{dx} + \sum_{i=1}^n a_i(x) y^i = 0, 0\leq x \leq 1$ where $a_i$ are polynomials

Lubomir Gavrilov

arxiv:1811.10506 v1 · 2018-11-26 · 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{MZQ5SC2SE4XHQ5W6RVGCGZ5KKO}

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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	2026-05-17T23:59:54.521233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6661d90b52272e7876de8d4c2367aa53940d046bd7ac30d5765fd6c3a3ebc0f5

Aliases

arxiv: 1811.10506 · arxiv_version: 1811.10506v1 · doi: 10.48550/arxiv.1811.10506 · pith_short_12: MZQ5SC2SE4XH · pith_short_16: MZQ5SC2SE4XHQ5W6 · pith_short_8: MZQ5SC2S

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/MZQ5SC2SE4XHQ5W6RVGCGZ5KKO \
  | 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: 6661d90b52272e7876de8d4c2367aa53940d046bd7ac30d5765fd6c3a3ebc0f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f07aecb2b56b6e16a80c3b9b54ade0ed505bbad60289a2023008f849ec11194b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-11-26T16:58:44Z",
    "title_canon_sha256": "f134b1e49d2941e1f44707281cf1b0cd4cdb703fdbcdc32a1536ea97a0766738"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.10506",
    "kind": "arxiv",
    "version": 1
  }
}