Pith Number

pith:LYLYYEPJ

pith:2013:LYLYYEPJNOQS6ZC5XVOCA6A7TV

not attested not anchored not stored refs pending

Tulczyjew triples: from statics to field theory

Janusz Grabowski, Katarzyna Grabowska

arxiv:1306.2744 v2 · 2013-06-12 · math-ph · math.DG · 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{LYLYYEPJNOQS6ZC5XVOCA6A7TV}

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	2026-05-18T03:01:46.436142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e178c11e96ba12f645dbd5c20781f9d6834a355f24462c3206798fec1510ca1

Aliases

arxiv: 1306.2744 · arxiv_version: 1306.2744v2 · doi: 10.48550/arxiv.1306.2744 · pith_short_12: LYLYYEPJNOQS · pith_short_16: LYLYYEPJNOQS6ZC5 · pith_short_8: LYLYYEPJ

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/LYLYYEPJNOQS6ZC5XVOCA6A7TV \
  | 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: 5e178c11e96ba12f645dbd5c20781f9d6834a355f24462c3206798fec1510ca1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "004c672eb2cb0ee4b35a8df8abdca41ddbb2d8bb5b9de5d4bd59ed61d5ff4146",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-06-12T08:26:11Z",
    "title_canon_sha256": "22dcef8213fc24bf3cf189abf65c4c61c4d94649da5dca0a08817a7e0f62a202"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2744",
    "kind": "arxiv",
    "version": 2
  }
}