Pith Number

pith:YFMPWU3N

pith:2017:YFMPWU3NQ6VOL4AGXXW7RWUBXB

not attested not anchored not stored refs pending

Solutions of fractional logistic equations by Euler's numbers

Mirko D'Ovidio, Paola Loreti

arxiv:1712.07824 v1 · 2017-12-21 · math.NT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YFMPWU3NQ6VOL4AGXXW7RWUBXB}

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	2026-05-18T00:13:30.826946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c158fb536d87aae5f006bdedf8da81b87dd880d869ff6440eb9a0fa05ba3d2d7

Aliases

arxiv: 1712.07824 · arxiv_version: 1712.07824v1 · doi: 10.48550/arxiv.1712.07824 · pith_short_12: YFMPWU3NQ6VO · pith_short_16: YFMPWU3NQ6VOL4AG · pith_short_8: YFMPWU3N

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/YFMPWU3NQ6VOL4AGXXW7RWUBXB \
  | 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: c158fb536d87aae5f006bdedf8da81b87dd880d869ff6440eb9a0fa05ba3d2d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a6a3b1263b1df17e586886a8860249ffc5fc9c8f7361a2b31b7ab75de2efa9b",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-21T08:15:01Z",
    "title_canon_sha256": "ea016beeddd550566e3d4772f92dac684b0fe7428b3845e0bed73be0e702c294"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07824",
    "kind": "arxiv",
    "version": 1
  }
}