Pith Number

pith:XCS5BCGE

pith:2013:XCS5BCGEH6UQLG7KWMO6BPCEM6

not attested not anchored not stored refs pending

Bundle-theoretic methods for higher-order variational calculus

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

arxiv:1306.3097 v3 · 2013-06-13 · 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{XCS5BCGEH6UQLG7KWMO6BPCEM6}

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	2026-05-18T01:58:27.470875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8a5d088c43fa9059beab31de0bc4467ad84562752a0fea12db4a693bdb8b20e

Aliases

arxiv: 1306.3097 · arxiv_version: 1306.3097v3 · doi: 10.48550/arxiv.1306.3097 · pith_short_12: XCS5BCGEH6UQ · pith_short_16: XCS5BCGEH6UQLG7K · pith_short_8: XCS5BCGE

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/XCS5BCGEH6UQLG7KWMO6BPCEM6 \
  | 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: b8a5d088c43fa9059beab31de0bc4467ad84562752a0fea12db4a693bdb8b20e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf7e138bb90b095c781f9314363ebadf009ab49a014a7234aee59cbe4e9d804f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-06-13T12:40:10Z",
    "title_canon_sha256": "2fec4a64a7aed6a6b4d72e3c355c88a04d73617d19601a6e3f2ad04109f21313"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3097",
    "kind": "arxiv",
    "version": 3
  }
}