Pith Number

pith:MO7N5FOT

pith:2013:MO7N5FOTC6VMFLZCZKIY3U6A3H

not attested not anchored not stored refs pending

Weak controllability of second order evolution systems and applications

Akram Ben Aissa

arxiv:1306.4833 v1 · 2013-06-20 · math.OC · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MO7N5FOTC6VMFLZCZKIY3U6A3H}

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	2026-05-18T03:20:21.520393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63bede95d317aac2af22ca918dd3c0d9e21ad9670e26e039c042e4d7b698a7a3

Aliases

arxiv: 1306.4833 · arxiv_version: 1306.4833v1 · doi: 10.48550/arxiv.1306.4833 · pith_short_12: MO7N5FOTC6VM · pith_short_16: MO7N5FOTC6VMFLZC · pith_short_8: MO7N5FOT

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/MO7N5FOTC6VMFLZCZKIY3U6A3H \
  | 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: 63bede95d317aac2af22ca918dd3c0d9e21ad9670e26e039c042e4d7b698a7a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6f58970a95a6c80c1f5bab370ae2f4da00efcbab6e76a230bb12897c2716cda",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-06-20T11:50:02Z",
    "title_canon_sha256": "a6321bf1516cfad6272ff996d3486a0a96d38864ebc33cc07a613bdf73460161"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4833",
    "kind": "arxiv",
    "version": 1
  }
}