Pith Number

pith:FXQA4EZR

pith:2013:FXQA4EZRBAACKAJS37CRURWFPY

not attested not anchored not stored refs pending

A Periodic Solution to Impulsive Logistic Equation

Chol Kim, Gyong-Chol Kim, Hyong-Chol O, Sang-Mun Kim

arxiv:1311.2580 v3 · 2013-11-11 · math.GM · 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{FXQA4EZRBAACKAJS37CRURWFPY}

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	2026-05-18T02:55:20.414874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2de00e13310800250132dfc51a46c57e1d317bf68f0398363edd0bdc8478bfe0

Aliases

arxiv: 1311.2580 · arxiv_version: 1311.2580v3 · doi: 10.48550/arxiv.1311.2580 · pith_short_12: FXQA4EZRBAAC · pith_short_16: FXQA4EZRBAACKAJS · pith_short_8: FXQA4EZR

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/FXQA4EZRBAACKAJS37CRURWFPY \
  | 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: 2de00e13310800250132dfc51a46c57e1d317bf68f0398363edd0bdc8478bfe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "459641fcc43adba8e6654c10fd643d5713e20fefc4719f52bb1b443a985cd53b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2013-11-11T02:19:10Z",
    "title_canon_sha256": "e5296a9aa0e63aa693544ad563e05c70a2b813dc6ae52135df9d7270c0f5d80f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2580",
    "kind": "arxiv",
    "version": 3
  }
}