pith. sign in
Pith Number

pith:CASKNCN5

pith:2016:CASKNCN5BGUAMNXBWXO6CJDRK5
not attested not anchored not stored refs pending

The Tulczyjew triple in mechanics on a Lie group

Katarzyna Grabowska, Marcin Zaj\k{a}c

arxiv:1602.02600 v1 · 2016-02-08 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CASKNCN5BGUAMNXBWXO6CJDRK5}

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 2026-05-18T01:21:09.370446Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1024a689bd09a80636e1b5dde1247157594ca6ad081d1e3015407e40a89998c4

Aliases

arxiv: 1602.02600 · arxiv_version: 1602.02600v1 · doi: 10.48550/arxiv.1602.02600 · pith_short_12: CASKNCN5BGUA · pith_short_16: CASKNCN5BGUAMNXB · pith_short_8: CASKNCN5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CASKNCN5BGUAMNXBWXO6CJDRK5 \
  | 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: 1024a689bd09a80636e1b5dde1247157594ca6ad081d1e3015407e40a89998c4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "559bb4fe61f52e644648294fba5b6d817030386f0f8bb79b261d1537534aab2d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-02-08T15:08:23Z",
    "title_canon_sha256": "47052bef7277d88a8d86167f0614cb9ef04d50f26b704f16e2eb8a8780825c1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02600",
    "kind": "arxiv",
    "version": 1
  }
}