Pith Number

pith:IMKX6HL5

pith:2015:IMKX6HL5MRUFYY4SBZIUPS6HUA

not attested not anchored not stored refs pending

Cyber-Physical Systems as General Distributed Parameter Systems: Three Types of Fractional Order Models and Emerging Research Opportunities

Chunhai Kou, Fudong Ge, YangQuan Chen

arxiv:1509.04318 v1 · 2015-09-07 · 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{IMKX6HL5MRUFYY4SBZIUPS6HUA}

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	2026-05-18T01:33:07.487273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43157f1d7d64685c63920e5147cbc7a00b7a37230d16784df924123e119f00ef

Aliases

arxiv: 1509.04318 · arxiv_version: 1509.04318v1 · doi: 10.48550/arxiv.1509.04318 · pith_short_12: IMKX6HL5MRUF · pith_short_16: IMKX6HL5MRUFYY4S · pith_short_8: IMKX6HL5

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/IMKX6HL5MRUFYY4SBZIUPS6HUA \
  | 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: 43157f1d7d64685c63920e5147cbc7a00b7a37230d16784df924123e119f00ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45eefb79de31f5261865e23e18d444ec388a4977b0b6639eb72a9f207ac7a917",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-09-07T21:03:13Z",
    "title_canon_sha256": "e0d470eed97a7c1190b60843e25172edf20a523857767c506e4f7f3b7e417cb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04318",
    "kind": "arxiv",
    "version": 1
  }
}