Pith Number

pith:LHOZ5XRP

pith:2016:LHOZ5XRPR4Y2QZ3ZWMPBBSRG73

not attested not anchored not stored refs pending

Going Up and Lying Over in Congruence--modular Algebras

Claudia Mure\c{s}an, George Georgescu

arxiv:1608.04985 v1 · 2016-08-17 · 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{LHOZ5XRPR4Y2QZ3ZWMPBBSRG73}

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	2026-05-18T01:08:33.062231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59dd9ede2f8f31a86779b31e10ca26feecb4dbc44f461f2e1c44fdbd5af31bce

Aliases

arxiv: 1608.04985 · arxiv_version: 1608.04985v1 · doi: 10.48550/arxiv.1608.04985 · pith_short_12: LHOZ5XRPR4Y2 · pith_short_16: LHOZ5XRPR4Y2QZ3Z · pith_short_8: LHOZ5XRP

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/LHOZ5XRPR4Y2QZ3ZWMPBBSRG73 \
  | 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: 59dd9ede2f8f31a86779b31e10ca26feecb4dbc44f461f2e1c44fdbd5af31bce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efdfcce9e3ad73930daa4a4b5326bf1ef71cccfac0bbf600dd6671ce3807def2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-08-17T14:46:04Z",
    "title_canon_sha256": "33ca4df136aa46f879d6feddf11340774164fb6b4089cbf9c23e7e929540fbb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04985",
    "kind": "arxiv",
    "version": 1
  }
}