Pith Number

pith:4FWFHZH4

pith:2011:4FWFHZH46A3LSV2H663XIJQH2T

not attested not anchored not stored refs pending

A Control-Oriented Notion of Finite State Approximation

Danielle C. Tarraf

arxiv:1105.3788 v3 · 2011-05-19 · math.OC · 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{4FWFHZH46A3LSV2H663XIJQH2T}

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	2026-05-18T03:10:56.081427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e16c53e4fcf036b95747f7b7742607d4d1d9bf65c3644b895b4b3656ae157f98

Aliases

arxiv: 1105.3788 · arxiv_version: 1105.3788v3 · doi: 10.48550/arxiv.1105.3788 · pith_short_12: 4FWFHZH46A3L · pith_short_16: 4FWFHZH46A3LSV2H · pith_short_8: 4FWFHZH4

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/4FWFHZH46A3LSV2H663XIJQH2T \
  | 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: e16c53e4fcf036b95747f7b7742607d4d1d9bf65c3644b895b4b3656ae157f98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7c7f8d206e1eda396f33694fc8998fa766ea4a74eba57c80d256d26b933b1a5",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-05-19T04:55:00Z",
    "title_canon_sha256": "3fcb871a87ea28bb3b5e2367d8fbc3200b8b130505b95363c9fc8514850c8026"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3788",
    "kind": "arxiv",
    "version": 3
  }
}