Pith Number

pith:D766UM5Y

pith:2016:D766UM5YUZHNFPLJU4YISMKHB7

not attested not anchored not stored refs pending

Higher Commutator Theory for Congruence Modular Varieties

Andrew Moorhead

arxiv:1610.07087 v2 · 2016-10-22 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D766UM5YUZHNFPLJU4YISMKHB7}

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	2026-05-18T00:49:31.931104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ffdea33b8a64ed2bd69a7308931470fe05eec393804637723bea7e69f9749d7

Aliases

arxiv: 1610.07087 · arxiv_version: 1610.07087v2 · doi: 10.48550/arxiv.1610.07087 · pith_short_12: D766UM5YUZHN · pith_short_16: D766UM5YUZHNFPLJ · pith_short_8: D766UM5Y

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/D766UM5YUZHNFPLJU4YISMKHB7 \
  | 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: 1ffdea33b8a64ed2bd69a7308931470fe05eec393804637723bea7e69f9749d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a643b72199a4d7200ab165012a58184c5e2249bc8cc61ad58dad2d3f4e583a90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-10-22T18:42:40Z",
    "title_canon_sha256": "2a99ee7a7ba5dbfb181116601c8531dc0529485f131637be61fcb0f3f51b304a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07087",
    "kind": "arxiv",
    "version": 2
  }
}