Pith Number

pith:DTKE67EL

pith:2013:DTKE67EL72CSX6EAOTAD3N5ZSH

not attested not anchored not stored refs pending

Grushin problems and control theory: Formulation and examples

Akram Ben Aissa

arxiv:1306.3836 v1 · 2013-06-17 · 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{DTKE67EL72CSX6EAOTAD3N5ZSH}

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	2026-05-18T03:20:46.228033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cd44f7c8bfe852bf88074c03db7b991dcb7a91164cc7d58b454c62f7f6d9b59

Aliases

arxiv: 1306.3836 · arxiv_version: 1306.3836v1 · doi: 10.48550/arxiv.1306.3836 · pith_short_12: DTKE67EL72CS · pith_short_16: DTKE67EL72CSX6EA · pith_short_8: DTKE67EL

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/DTKE67EL72CSX6EAOTAD3N5ZSH \
  | 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: 1cd44f7c8bfe852bf88074c03db7b991dcb7a91164cc7d58b454c62f7f6d9b59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8b5ed00efc6ab2291bf82e28037b0d42edc5cc636b0ffbc8bea9944c3975ff5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-06-17T12:35:52Z",
    "title_canon_sha256": "1aa8dab9e4425059c60734a6f66c8b5a3f510207d9462a72e7f1f481645a7646"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3836",
    "kind": "arxiv",
    "version": 1
  }
}