Pith Number

pith:PMK77JYN

pith:2016:PMK77JYNWAEEBVM7S3FHAYGXYI

not attested not anchored not stored refs pending

The inverse problem of the calculus of variations and the stabilization of controlled Lagrangian systems

M. Farr\'e Puiggal\'i, T. Mestdag

arxiv:1602.01673 v2 · 2016-02-04 · math-ph · math.DS · math.MP · 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{PMK77JYNWAEEBVM7S3FHAYGXYI}

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	2026-05-18T00:54:52.916412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b15ffa70db00840d59f96ca7060d7c223a9525ea0ddd8456f96fa24b2ff7ebf

Aliases

arxiv: 1602.01673 · arxiv_version: 1602.01673v2 · doi: 10.48550/arxiv.1602.01673 · pith_short_12: PMK77JYNWAEE · pith_short_16: PMK77JYNWAEEBVM7 · pith_short_8: PMK77JYN

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/PMK77JYNWAEEBVM7S3FHAYGXYI \
  | 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: 7b15ffa70db00840d59f96ca7060d7c223a9525ea0ddd8456f96fa24b2ff7ebf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d768931e771a1364d190b07e6dbf381627098c4f84169b7b5f94a4bf916008fc",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-02-04T13:45:36Z",
    "title_canon_sha256": "8364d9d212d0de8f8a0f46396e40ee5043206cad30238652d50e1b3c9241c4e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01673",
    "kind": "arxiv",
    "version": 2
  }
}