Pith Number

pith:22W6MA3K

pith:2014:22W6MA3KGF3OR5ZUR3EZHU3QZL

not attested not anchored not stored refs pending

Higher order mechanics on graded bundles

Andrew James Bruce, Janusz Grabowski, Katarzyna Grabowska

arxiv:1412.2719 v2 · 2014-12-08 · math-ph · math.DG · 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{22W6MA3KGF3OR5ZUR3EZHU3QZL}

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	2026-05-18T01:24:10.997802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6ade6036a3176e8f7348ec993d370caeeb1d3220274a1994fc4415ff2732a85

Aliases

arxiv: 1412.2719 · arxiv_version: 1412.2719v2 · doi: 10.48550/arxiv.1412.2719 · pith_short_12: 22W6MA3KGF3O · pith_short_16: 22W6MA3KGF3OR5ZU · pith_short_8: 22W6MA3K

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/22W6MA3KGF3OR5ZUR3EZHU3QZL \
  | 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: d6ade6036a3176e8f7348ec993d370caeeb1d3220274a1994fc4415ff2732a85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7f98517f32b428f608c6be91d70d882713216518a3da43b845b20c70a93a5e2",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-12-08T20:20:34Z",
    "title_canon_sha256": "7bb4722c2f481e7b88c92ee13aaf5fa95436f7d650cb8108f7b1e493b7fdcfe0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2719",
    "kind": "arxiv",
    "version": 2
  }
}