Pith Number

pith:LG3T66PX

pith:2007:LG3T66PXOEWUC6XLFFCFMPRYN2

not attested not anchored not stored refs pending

Geometric control theory I: mathematical foundations

Danilo Bruno, Enrico Massa, Enrico Pagani

arxiv:0705.2362 v3 · 2007-05-16 · math.OC · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LG3T66PXOEWUC6XLFFCFMPRYN2}

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	2026-05-18T02:09:52.792111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59b73f79f7712d417aeb2944563e386e9ed44a0727d121f5539d0b551b014ece

Aliases

arxiv: 0705.2362 · arxiv_version: 0705.2362v3 · doi: 10.48550/arxiv.0705.2362 · pith_short_12: LG3T66PXOEWU · pith_short_16: LG3T66PXOEWUC6XL · pith_short_8: LG3T66PX

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/LG3T66PXOEWUC6XLFFCFMPRYN2 \
  | 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: 59b73f79f7712d417aeb2944563e386e9ed44a0727d121f5539d0b551b014ece

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47bb9389333b31111a5c4a265d76e2e268549283e9397523e0e96ed0902ea021",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2007-05-16T14:22:16Z",
    "title_canon_sha256": "f158287750bfe81718b5cd8c237d01afad047de48513c45353a85adb6d499f52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.2362",
    "kind": "arxiv",
    "version": 3
  }
}