Pith Number

pith:GA65ZX2R

pith:2010:GA65ZX2RBQV6J5NW43KSP2Q43M

not attested not anchored not stored refs pending

Controller Synthesis for Safety and Reachability via Approximate Bisimulation

Antoine Girard

arxiv:1010.4672 v2 · 2010-10-22 · cs.SY · cs.LO · 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{GA65ZX2RBQV6J5NW43KSP2Q43M}

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	2026-05-18T04:19:54.720787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

303ddcdf510c2be4f5b6e6d527ea1cdb09675e6711656ad2e8228c2b45bd8e8a

Aliases

arxiv: 1010.4672 · arxiv_version: 1010.4672v2 · doi: 10.48550/arxiv.1010.4672 · pith_short_12: GA65ZX2RBQV6 · pith_short_16: GA65ZX2RBQV6J5NW · pith_short_8: GA65ZX2R

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/GA65ZX2RBQV6J5NW43KSP2Q43M \
  | 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: 303ddcdf510c2be4f5b6e6d527ea1cdb09675e6711656ad2e8228c2b45bd8e8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b90e9aa61ed212ddfe29e934ea2b4870daf75a18f2ae48efb743cbf40b534ca",
    "cross_cats_sorted": [
      "cs.LO",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2010-10-22T11:13:12Z",
    "title_canon_sha256": "85e563bca6f0f06a4409ede82c2ef9eacc6a969a6e340a17dca1d1b1d00c26ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4672",
    "kind": "arxiv",
    "version": 2
  }
}