Pith Number

pith:EX5IOUC4

pith:2011:EX5IOUC4HY6N7TVBKEUPRPQO4A

not attested not anchored not stored refs pending

The Tulczyjew triple for classical fields

Katarzyna Grabowska

arxiv:1109.2533 v2 · 2011-09-12 · 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{EX5IOUC4HY6N7TVBKEUPRPQO4A}

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	2026-05-18T02:00:34.259467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25fa87505c3e3cdfcea15128f8be0ee021039aec8cd54a7d6e3a00ae141171bf

Aliases

arxiv: 1109.2533 · arxiv_version: 1109.2533v2 · doi: 10.48550/arxiv.1109.2533 · pith_short_12: EX5IOUC4HY6N · pith_short_16: EX5IOUC4HY6N7TVB · pith_short_8: EX5IOUC4

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/EX5IOUC4HY6N7TVBKEUPRPQO4A \
  | 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: 25fa87505c3e3cdfcea15128f8be0ee021039aec8cd54a7d6e3a00ae141171bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bb5bfeddb2bb466f5a7b8b4d773b7cca25f6597c43266d17f18ce53135d489e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-12T17:04:55Z",
    "title_canon_sha256": "b755569ca7e9cb027a021932a2d178b62333058b70a38105c4806fc9db8579a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2533",
    "kind": "arxiv",
    "version": 2
  }
}