Pith Number

pith:DABEFXMV

pith:2015:DABEFXMV2E7CPUG42SXDRVI44I

not attested not anchored not stored refs pending

Controllability of random systems: Universality and minimal controllability

Behrouz Touri, Sean O'Rourke

arxiv:1506.03125 v1 · 2015-06-09 · math.PR · 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{DABEFXMV2E7CPUG42SXDRVI44I}

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	2026-05-18T01:55:31.469538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

180242dd95d13e27d0dcd4ae38d51ce23e45182b85cc55139c1011c864fa1c8b

Aliases

arxiv: 1506.03125 · arxiv_version: 1506.03125v1 · doi: 10.48550/arxiv.1506.03125 · pith_short_12: DABEFXMV2E7C · pith_short_16: DABEFXMV2E7CPUG4 · pith_short_8: DABEFXMV

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/DABEFXMV2E7CPUG42SXDRVI44I \
  | 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: 180242dd95d13e27d0dcd4ae38d51ce23e45182b85cc55139c1011c864fa1c8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d75db87ab9254b4fe38ce0a83c4663ce283fa613f4710b7832fc8ae89e9be58b",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-09T22:48:28Z",
    "title_canon_sha256": "017cd319e1de78de20de9d71dde102088c243fb775d189e350e5b0e0f24657f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03125",
    "kind": "arxiv",
    "version": 1
  }
}