Pith Number

pith:IWY6WIKP

pith:2011:IWY6WIKPVQHYCBVWEM2HAM75ET

not attested not anchored not stored refs pending

Discrete second-order Euler-Poincar\'e equations. Applications to optimal control

David Martin de Diego, Fernando Jimenez, Leonardo Colombo

arxiv:1109.4716 v1 · 2011-09-22 · math-ph · math.DG · math.MP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IWY6WIKPVQHYCBVWEM2HAM75ET}

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	2026-05-18T04:12:33.081189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45b1eb214fac0f8106b623347033fd24ece1c1f4ede6f7d1a13756a8f46a079a

Aliases

arxiv: 1109.4716 · arxiv_version: 1109.4716v1 · doi: 10.48550/arxiv.1109.4716 · pith_short_12: IWY6WIKPVQHY · pith_short_16: IWY6WIKPVQHYCBVW · pith_short_8: IWY6WIKP

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/IWY6WIKPVQHYCBVWEM2HAM75ET \
  | 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: 45b1eb214fac0f8106b623347033fd24ece1c1f4ede6f7d1a13756a8f46a079a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f5dd9774c217830b0d800310e0ede7bfeee2e54d6a1a02523c92cddcabfbfff",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-22T07:29:26Z",
    "title_canon_sha256": "1ef4054166d43e1dcdb343fe9ad651fd6df7a5bf28d6e99d9dc6ba9b8570e573"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4716",
    "kind": "arxiv",
    "version": 1
  }
}