Pith Number

pith:4FPYCJH2

pith:2016:4FPYCJH2OWH2GEY3V6WK3PR3SV

not attested not anchored not stored refs pending

Optimal Control of Large-Scale Networks using Clustering Based Projections

Aranya Chakrabortty, Nan Xue

arxiv:1609.05265 v3 · 2016-09-17 · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4FPYCJH2OWH2GEY3V6WK3PR3SV}

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	2026-05-18T00:33:44.062399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e15f8124fa758fa3131bafacadbe3b95618e3ff590efc6ca2a98d70165003b44

Aliases

arxiv: 1609.05265 · arxiv_version: 1609.05265v3 · doi: 10.48550/arxiv.1609.05265 · pith_short_12: 4FPYCJH2OWH2 · pith_short_16: 4FPYCJH2OWH2GEY3 · pith_short_8: 4FPYCJH2

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/4FPYCJH2OWH2GEY3V6WK3PR3SV \
  | 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: e15f8124fa758fa3131bafacadbe3b95618e3ff590efc6ca2a98d70165003b44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecf6c3d814d6d93f1db45c14f4572056c6a15cf5b082c378abf72f7d829a1aba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2016-09-17T01:37:26Z",
    "title_canon_sha256": "af097311dd133352d7d66699cd8045aded5384f73baa9f48d58c80306ca9a6e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05265",
    "kind": "arxiv",
    "version": 3
  }
}