Pith Number

pith:GPUBA77G

pith:2019:GPUBA77G2VE3PTTOT26DDMAP22

not attested not anchored not stored refs pending

Controllability of Kronecker Product Networks

Guanrong Chen, Qingyun Wang, Yuqing Hao, Zhisheng Duan

arxiv:1906.11551 v1 · 2019-06-27 · 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{GPUBA77G2VE3PTTOT26DDMAP22}

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	2026-05-17T23:42:04.480669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33e8107fe6d549b7ce6e9ebc31b00fd69599d3e28b09decd23b5d6cf620d40a3

Aliases

arxiv: 1906.11551 · arxiv_version: 1906.11551v1 · doi: 10.48550/arxiv.1906.11551 · pith_short_12: GPUBA77G2VE3 · pith_short_16: GPUBA77G2VE3PTTO · pith_short_8: GPUBA77G

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/GPUBA77G2VE3PTTOT26DDMAP22 \
  | 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: 33e8107fe6d549b7ce6e9ebc31b00fd69599d3e28b09decd23b5d6cf620d40a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc041147c40ca01f8a79d1ed0d353664e04bfa694a1828e0532e85dc9ebeac8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-06-27T11:19:52Z",
    "title_canon_sha256": "81374f125f726d6568c0070b7946af70ff1a298fd627a1bc937a3ff366adbee3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11551",
    "kind": "arxiv",
    "version": 1
  }
}