Pith Number

pith:TOUPYKMZ

pith:2014:TOUPYKMZEVTHVBHPWZSLICI7X2

not attested not anchored not stored refs pending

A linear time algorithm to verify strong structural controllability

Alexander Weber, Ferdinand Svaricek, Gunther Reissig

arxiv:1412.6792 v1 · 2014-12-21 · math.OC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TOUPYKMZEVTHVBHPWZSLICI7X2}

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	2026-05-18T00:57:51.225432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ba8fc299925667a84efb664b4091fbe80b13ffbeaa667512575fc44cdcc9c54

Aliases

arxiv: 1412.6792 · arxiv_version: 1412.6792v1 · doi: 10.48550/arxiv.1412.6792 · pith_short_12: TOUPYKMZEVTH · pith_short_16: TOUPYKMZEVTHVBHP · pith_short_8: TOUPYKMZ

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/TOUPYKMZEVTHVBHPWZSLICI7X2 \
  | 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: 9ba8fc299925667a84efb664b4091fbe80b13ffbeaa667512575fc44cdcc9c54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17b227a17cd5a69a55cd82d0235ac87abe2c0eae557073c06f7f65a9fcfd200d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-12-21T14:52:36Z",
    "title_canon_sha256": "9b6c47284861493350e96e180eb97a1928c93745aae67f84360887757be37bac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6792",
    "kind": "arxiv",
    "version": 1
  }
}