Pith Number

pith:NZZPORH2

pith:2017:NZZPORH2IFEYYI7HQFX777CNGU

not attested not anchored not stored refs pending

Higher-Order Analogs of Lie Algebroids via Vector Bundle Comorphisms

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

arxiv:1708.03174 v3 · 2017-08-10 · 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{NZZPORH2IFEYYI7HQFX777CNGU}

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	2026-05-17T23:57:15.656988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e72f744fa41498c23e7816ffffc4d3510758f18db93030609b30882f94bd633

Aliases

arxiv: 1708.03174 · arxiv_version: 1708.03174v3 · doi: 10.48550/arxiv.1708.03174 · pith_short_12: NZZPORH2IFEY · pith_short_16: NZZPORH2IFEYYI7H · pith_short_8: NZZPORH2

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/NZZPORH2IFEYYI7HQFX777CNGU \
  | 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: 6e72f744fa41498c23e7816ffffc4d3510758f18db93030609b30882f94bd633

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9a57f99399cfdd9c071c0917abdcd895019d449fa361fe98a49bc678fb35635",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-08-10T12:04:53Z",
    "title_canon_sha256": "41b2c4b2573862778e7eb752546a706326988aed60dd922dbc97e638d6276348"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03174",
    "kind": "arxiv",
    "version": 3
  }
}