Pith Number

pith:GENLYCY7

pith:2017:GENLYCY7GGSKYFH7FDKMRVFTMI

not attested not anchored not stored refs pending

Representations up to homotopy from weighted Lie algebroids

Andrew James Bruce, Janusz Grabowski, Luca Vitagliano

arxiv:1705.02114 v2 · 2017-05-05 · 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{GENLYCY7GGSKYFH7FDKMRVFTMI}

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	2026-05-18T00:17:43.720030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

311abc0b1f31a4ac14ff28d4c8d4b362120afa5618539c8051f8502e63f36202

Aliases

arxiv: 1705.02114 · arxiv_version: 1705.02114v2 · doi: 10.48550/arxiv.1705.02114 · pith_short_12: GENLYCY7GGSK · pith_short_16: GENLYCY7GGSKYFH7 · pith_short_8: GENLYCY7

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/GENLYCY7GGSKYFH7FDKMRVFTMI \
  | 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: 311abc0b1f31a4ac14ff28d4c8d4b362120afa5618539c8051f8502e63f36202

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64142847435716fc257ccc4c1fbc026df0f888d7803349c92ccf12cf5ad7dc11",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-05-05T07:55:35Z",
    "title_canon_sha256": "daaf61cb6c904ad9e3fb504aa15a69d3a13a78ea25c43297088dd8f4a067e07c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02114",
    "kind": "arxiv",
    "version": 2
  }
}