Pith Number

pith:2I72OJUS

pith:2020:2I72OJUSB4NI46ZCA63UNZ42QV

not attested not anchored not stored refs pending

Realization, Internal Stability, and Controller Synthesis

Shih-Hao Tseng

arxiv:2009.14328 v5 · 2020-09-29 · 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{2I72OJUSB4NI46ZCA63UNZ42QV}

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	2026-07-05T03:55:46.242055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d23fa726920f1a8e7b2207b746e79a8571b73c5a6f431df13baf825da3d81ddf

Aliases

arxiv: 2009.14328 · arxiv_version: 2009.14328v5 · doi: 10.48550/arxiv.2009.14328 · pith_short_12: 2I72OJUSB4NI · pith_short_16: 2I72OJUSB4NI46ZC · pith_short_8: 2I72OJUS

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/2I72OJUSB4NI46ZCA63UNZ42QV \
  | 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: d23fa726920f1a8e7b2207b746e79a8571b73c5a6f431df13baf825da3d81ddf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d78c243013eb431b6ce3188dc5bddffb30418700912933fc6b72a5cc7d6e5cc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-09-29T22:31:40Z",
    "title_canon_sha256": "02135cb71754dca8a219b52ed42e23e1eefcc907ca961f08eb81e6a4614d7f13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.14328",
    "kind": "arxiv",
    "version": 5
  }
}