Pith Number

pith:EKQLFQKY

pith:2017:EKQLFQKYPDLT6C7EGA54BXTZNO

not attested not anchored not stored refs pending

Second-order constrained variational problems on Lie algebroids: applications to optimal control

Leonardo Colombo

arxiv:1701.04772 v1 · 2017-01-17 · math-ph · 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{EKQLFQKYPDLT6C7EGA54BXTZNO}

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	2026-05-18T00:52:35.129994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22a0b2c15878d73f0be4303bc0de796bbcf90424812054d6ce0e02be345f5d53

Aliases

arxiv: 1701.04772 · arxiv_version: 1701.04772v1 · doi: 10.48550/arxiv.1701.04772 · pith_short_12: EKQLFQKYPDLT · pith_short_16: EKQLFQKYPDLT6C7E · pith_short_8: EKQLFQKY

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/EKQLFQKYPDLT6C7EGA54BXTZNO \
  | 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: 22a0b2c15878d73f0be4303bc0de796bbcf90424812054d6ce0e02be345f5d53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "332aa24ef192e9e5231169010f570c7fda9e0e2328732a00cd9608aa3674f94d",
    "cross_cats_sorted": [
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-01-17T17:18:21Z",
    "title_canon_sha256": "f5d5200938af02e4a18f12cb2719faf98e76a27d5b88e3a9908da4400e87cfc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04772",
    "kind": "arxiv",
    "version": 1
  }
}