Pith Number

pith:XXNCUQBL

pith:2018:XXNCUQBLZSN7YQ5FQ2RVMBMPMR

not attested not anchored not stored refs pending

The Main Decomposition of Finite-Dimensional Protori

Adolf Mader, Wayne Lewis

arxiv:1809.04627 v1 · 2018-09-12 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XXNCUQBLZSN7YQ5FQ2RVMBMPMR}

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	2026-05-18T00:05:50.157591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdda2a402bcc9bfc43a586a356058f644859454207e603ee1386530e54d74be1

Aliases

arxiv: 1809.04627 · arxiv_version: 1809.04627v1 · doi: 10.48550/arxiv.1809.04627 · pith_short_12: XXNCUQBLZSN7 · pith_short_16: XXNCUQBLZSN7YQ5F · pith_short_8: XXNCUQBL

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/XXNCUQBLZSN7YQ5FQ2RVMBMPMR \
  | 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: bdda2a402bcc9bfc43a586a356058f644859454207e603ee1386530e54d74be1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7101ac8ba08c6db0a6c0b7a66307617c9cb139781c1649b29a8a883c5462ef0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-09-12T18:30:22Z",
    "title_canon_sha256": "4a1c2c2d282609b5905904c8e510afde452c1c52dd3b69204a86978d5820bc7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04627",
    "kind": "arxiv",
    "version": 1
  }
}