Pith Number

pith:IWN44ASF

pith:2021:IWN44ASFPMLT7TAZJCF5LGVWNF

not attested not anchored not stored refs pending

Tulczyjew's Triplet for Lie Groups III : Higher Order Dynamics and Reductions for Iterated Bundles

Hasan G\"umral, O\u{g}ul Esen, Serkan S\"utl\"u

arxiv:2102.10807 v2 · 2021-02-22 · math.SG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IWN44ASFPMLT7TAZJCF5LGVWNF}

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	2026-07-05T03:57:07.250764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

459bce02457b173fcc19488bd59ab6695472be226d44ce4932a85669eb6f7cc7

Aliases

arxiv: 2102.10807 · arxiv_version: 2102.10807v2 · doi: 10.48550/arxiv.2102.10807 · pith_short_12: IWN44ASFPMLT · pith_short_16: IWN44ASFPMLT7TAZ · pith_short_8: IWN44ASF

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/IWN44ASFPMLT7TAZJCF5LGVWNF \
  | 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: 459bce02457b173fcc19488bd59ab6695472be226d44ce4932a85669eb6f7cc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f5a9b0dcbf4af38637e42bf7158b40ae9bd2b74f89298ba213d80b2c43b6eeb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2021-02-22T07:09:57Z",
    "title_canon_sha256": "d287d70b8afc8d1f19fbc7069a46cfadbe37d5a18013b7a63f226641569e2856"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.10807",
    "kind": "arxiv",
    "version": 2
  }
}