Pith Number

pith:OCPAFUII

pith:2023:OCPAFUII2N57W3MX5DX6KBBIA6

not attested not anchored not stored refs pending

Aubry-Mather theory for optimal control systems with nonholonomic constraints

Cristian Mendico, Piermarco Cannarsa

arxiv:2306.03808 v3 · 2023-06-06 · 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{OCPAFUII2N57W3MX5DX6KBBIA6}

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	2026-07-05T09:29:23.705101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

709e02d108d37bfb6d97e8efe50428078952a40d2399f28bcf76b6f4ceb8b41a

Aliases

arxiv: 2306.03808 · arxiv_version: 2306.03808v3 · doi: 10.48550/arxiv.2306.03808 · pith_short_12: OCPAFUII2N57 · pith_short_16: OCPAFUII2N57W3MX · pith_short_8: OCPAFUII

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/OCPAFUII2N57W3MX5DX6KBBIA6 \
  | 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: 709e02d108d37bfb6d97e8efe50428078952a40d2399f28bcf76b6f4ceb8b41a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdd2cd4ea4a94713ebb66387a0e7d37a0bbf663bf3f8a095edba4de77e9c804b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-06-06T15:50:49Z",
    "title_canon_sha256": "a6676ac3a5aaeb0ac96bc75dcdf3e6f8e9e9e3f2d21b44aeed22c343e1ff9f37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.03808",
    "kind": "arxiv",
    "version": 3
  }
}