Pith Number

pith:Z4SE4EUS

pith:2018:Z4SE4EUSJ3SGDT5LS5QRG3BPFN

not attested not anchored not stored refs pending

Strong Structural Controllability of Systems on Colored Graphs

Harry L. Trentelman, Jiajia Jia, Kanat M. Camlibel, Wouter Baar

arxiv:1810.05580 v2 · 2018-10-12 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4SE4EUSJ3SGDT5LS5QRG3BPFN}

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	2026-05-18T00:03:23.857728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf244e12924ee461cfab9761136c2f2b4e73bd57b3e5d848b5e20cff36553fa9

Aliases

arxiv: 1810.05580 · arxiv_version: 1810.05580v2 · doi: 10.48550/arxiv.1810.05580 · pith_short_12: Z4SE4EUSJ3SG · pith_short_16: Z4SE4EUSJ3SGDT5L · pith_short_8: Z4SE4EUS

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/Z4SE4EUSJ3SGDT5LS5QRG3BPFN \
  | 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: cf244e12924ee461cfab9761136c2f2b4e73bd57b3e5d848b5e20cff36553fa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecf124d12b6a368fcefc11d2331a88bb04ca56d00ea1944685205e19cc2b3cf1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-10-12T15:37:06Z",
    "title_canon_sha256": "ab3e668030faa270369c18e02ec0440fb38af7fc97db93fd6ace77fa23e9f918"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05580",
    "kind": "arxiv",
    "version": 2
  }
}