Pith Number

pith:OPMP3G6Y

pith:2015:OPMP3G6YHOZTQGPDXUP5NV7NKL

not attested not anchored not stored refs pending

Relatively congruence modular quasivarieties of modules

Keith A. Kearnes

arxiv:1509.03809 v1 · 2015-09-13 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPMP3G6YHOZTQGPDXUP5NV7NKL}

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	2026-05-18T01:33:14.472385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73d8fd9bd83bb33819e3bd1fd6d7ed52cde25b7646170ff37f5383a2d78a03db

Aliases

arxiv: 1509.03809 · arxiv_version: 1509.03809v1 · doi: 10.48550/arxiv.1509.03809 · pith_short_12: OPMP3G6YHOZT · pith_short_16: OPMP3G6YHOZTQGPD · pith_short_8: OPMP3G6Y

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/OPMP3G6YHOZTQGPDXUP5NV7NKL \
  | 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: 73d8fd9bd83bb33819e3bd1fd6d7ed52cde25b7646170ff37f5383a2d78a03db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "794b394debbb6eda7c8bc15a89a6c88eb0c5b9047791c680142f4c8d08416629",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-09-13T05:06:04Z",
    "title_canon_sha256": "ab1ab78139af07fe5b3c20e37aea22f07d86993352de74b1fab74b4bda2dc4fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03809",
    "kind": "arxiv",
    "version": 1
  }
}