Pith Number

pith:ID3U7X2Q

pith:2014:ID3U7X2QLXUMKFHGXPZUX4JN3U

not attested not anchored not stored refs pending

Tight Bounds for Averaging Multi-Frequency Differential Inclusions, Applied to Control Systems

Ido Bright

arxiv:1402.6750 v2 · 2014-02-27 · 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{ID3U7X2QLXUMKFHGXPZUX4JN3U}

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	2026-05-18T02:56:51.425163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40f74fdf505de8c514e6bbf34bf12ddd23cf2761aac9c61f6ae8b9d0d1c29d01

Aliases

arxiv: 1402.6750 · arxiv_version: 1402.6750v2 · doi: 10.48550/arxiv.1402.6750 · pith_short_12: ID3U7X2QLXUM · pith_short_16: ID3U7X2QLXUMKFHG · pith_short_8: ID3U7X2Q

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/ID3U7X2QLXUMKFHGXPZUX4JN3U \
  | 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: 40f74fdf505de8c514e6bbf34bf12ddd23cf2761aac9c61f6ae8b9d0d1c29d01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06ec0f6c714ec8ee13c9635c960d446ddb21368bb7f5d0318793b6714c6a4556",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-02-27T00:20:43Z",
    "title_canon_sha256": "9bfe847b9e2ff17ac53a301e4701c3ae42c217ccc060107246ae1e64cbb029d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.6750",
    "kind": "arxiv",
    "version": 2
  }
}