Pith Number

pith:PHXLA5CK

pith:2019:PHXLA5CKIEAEVJPALCONAWRZ47

not attested not anchored not stored refs pending

Three-species predator-prey model with respect to Caputo and Caputo-Fabrizio fractional operators

Leila Eftekhari, Leo Lahti, Moein Khalighi, Soleiman Hosseinpour

arxiv:1908.03685 v5 · 2019-08-10 · math.NA · cs.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHXLA5CKIEAEVJPALCONAWRZ47}

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	2026-07-05T08:47:42.806633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79eeb0744a41004aa5e0589cd05a39e7c9b0b7368043616126189a471af47850

Aliases

arxiv: 1908.03685 · arxiv_version: 1908.03685v5 · doi: 10.48550/arxiv.1908.03685 · pith_short_12: PHXLA5CKIEAE · pith_short_16: PHXLA5CKIEAEVJPA · pith_short_8: PHXLA5CK

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/PHXLA5CKIEAEVJPALCONAWRZ47 \
  | 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: 79eeb0744a41004aa5e0589cd05a39e7c9b0b7368043616126189a471af47850

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f2be40daec61b6c97822041cf714c5c923a2ecc4b67779fe3e15f41ae81414c",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-08-10T04:03:11Z",
    "title_canon_sha256": "d5f3dd9b2e90940c3ca5d6e2c03cfdcf23c24bd3f27003051662e1fe190bc051"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03685",
    "kind": "arxiv",
    "version": 5
  }
}