Pith Number

pith:SE2BQLCT

pith:2011:SE2BQLCTVTEYE6OSIHQTJRCSKH

not attested not anchored not stored refs pending

Left invertibility of discrete-time output-quantized systems: the linear case with finite inputs

Antonio Bicchi, Benedetto Piccoli, Nevio Dubbini

arxiv:1103.4039 v1 · 2011-03-21 · math.OC · cs.SY · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SE2BQLCTVTEYE6OSIHQTJRCSKH}

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	2026-05-18T04:26:21.922005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9134182c53acc98279d241e134c45251f686b77495cdf9f5e822ad1dd6d99209

Aliases

arxiv: 1103.4039 · arxiv_version: 1103.4039v1 · doi: 10.48550/arxiv.1103.4039 · pith_short_12: SE2BQLCTVTEY · pith_short_16: SE2BQLCTVTEYE6OS · pith_short_8: SE2BQLCT

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/SE2BQLCTVTEYE6OSIHQTJRCSKH \
  | 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: 9134182c53acc98279d241e134c45251f686b77495cdf9f5e822ad1dd6d99209

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0819a78b716b5b728041c620516f0f68ce039e42f730d4074467ba912d46571",
    "cross_cats_sorted": [
      "cs.SY",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-03-21T14:51:04Z",
    "title_canon_sha256": "e9b60049c972d78e147ae5f3328ebd704be708684e9a75812cf061badc8e27b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4039",
    "kind": "arxiv",
    "version": 1
  }
}