Pith Number

pith:WKZT5LNU

pith:2013:WKZT5LNUQ6AROA6CUGYVRL2Z6I

not attested not anchored not stored refs pending

Prototypes of higher algebroids with applications to variational calculus

Micha{\l} J\'o\'zwikowski, Miko{\l}aj Rotkiewicz

arxiv:1306.3379 v2 · 2013-06-14 · math.DG · 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{WKZT5LNUQ6AROA6CUGYVRL2Z6I}

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	2026-05-18T02:52:48.526652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2b33eadb487811703c2a1b158af59f20eff8633c8e47a63525b4ae1339becde

Aliases

arxiv: 1306.3379 · arxiv_version: 1306.3379v2 · doi: 10.48550/arxiv.1306.3379 · pith_short_12: WKZT5LNUQ6AR · pith_short_16: WKZT5LNUQ6AROA6C · pith_short_8: WKZT5LNU

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/WKZT5LNUQ6AROA6CUGYVRL2Z6I \
  | 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: b2b33eadb487811703c2a1b158af59f20eff8633c8e47a63525b4ae1339becde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68aa2b30dd3e9b8b6e01b18356a1ed99cf8943fba20e4e1228b059fb2b622330",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-06-14T12:35:46Z",
    "title_canon_sha256": "006bf5b185ff6b428319d687d788607f95cab7d63698450382424de99c6a09a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3379",
    "kind": "arxiv",
    "version": 2
  }
}