Pith Number

pith:U7DIIJCR

pith:2017:U7DIIJCRPGUNXM7CB7YCG3QME2

not attested not anchored not stored refs pending

Characterizations of input-to-state stability for infinite-dimensional systems

Andrii Mironchenko, Fabian Wirth

arxiv:1701.08952 v2 · 2017-01-31 · math.OC · math.AP · 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{U7DIIJCRPGUNXM7CB7YCG3QME2}

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	2026-05-18T00:34:41.953900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7c684245179a8dbb3e20ff0236e0c26bd59a15b52d076d72265f39e59b0f525

Aliases

arxiv: 1701.08952 · arxiv_version: 1701.08952v2 · doi: 10.48550/arxiv.1701.08952 · pith_short_12: U7DIIJCRPGUN · pith_short_16: U7DIIJCRPGUNXM7C · pith_short_8: U7DIIJCR

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/U7DIIJCRPGUNXM7CB7YCG3QME2 \
  | 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: a7c684245179a8dbb3e20ff0236e0c26bd59a15b52d076d72265f39e59b0f525

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0705dbabc6f284bd97da503823bf038a8099d72424fe9fa16fe5aaeb04eddff",
    "cross_cats_sorted": [
      "math.AP",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-01-31T09:12:34Z",
    "title_canon_sha256": "dbda214bd55f5e5d392766b8efc353897f64eb3ce0dddf6b5d4fdd17ad76af1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08952",
    "kind": "arxiv",
    "version": 2
  }
}