Pith Number

pith:7TLQKRSH

pith:2015:7TLQKRSHFO5EP3IJXGPAW3MRDZ

not attested not anchored not stored refs pending

Tulczyjew's Triplet for Lie Groups II: Dynamics

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

arxiv:1503.06566 v1 · 2015-03-23 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7TLQKRSHFO5EP3IJXGPAW3MRDZ}

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	2026-05-18T02:20:37.974949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcd70546472bba47ed09b99e0b6d911e7d25f077662b7b96488fc1e9686f604d

Aliases

arxiv: 1503.06566 · arxiv_version: 1503.06566v1 · doi: 10.48550/arxiv.1503.06566 · pith_short_12: 7TLQKRSHFO5E · pith_short_16: 7TLQKRSHFO5EP3IJ · pith_short_8: 7TLQKRSH

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/7TLQKRSHFO5EP3IJXGPAW3MRDZ \
  | 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: fcd70546472bba47ed09b99e0b6d911e7d25f077662b7b96488fc1e9686f604d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f44b0e28ad17bbb0a9f0c754b2889fa375c7a7158acdfd503f34f4db96d01d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-03-23T09:15:47Z",
    "title_canon_sha256": "409a2c4cc6f1689b7bfa94274c17c53ac3445241c47ed79d2e3e382fec25a29c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06566",
    "kind": "arxiv",
    "version": 1
  }
}