Pith Number

pith:HPVTKPUL

pith:2016:HPVTKPUL6GLAW6Z55R2DL2JXQM

not attested not anchored not stored refs pending

Properties of the Dot Product Graph of a Commutative Ring

Mohsen Mollahajiaghaei

arxiv:1601.05034 v1 · 2016-01-19 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPVTKPUL6GLAW6Z55R2DL2JXQM}

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	2026-05-18T01:22:31.366023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3beb353e8bf1960b7b3dec7435e9378334fabee673dbc8eb846753c82a8601f0

Aliases

arxiv: 1601.05034 · arxiv_version: 1601.05034v1 · doi: 10.48550/arxiv.1601.05034 · pith_short_12: HPVTKPUL6GLA · pith_short_16: HPVTKPUL6GLAW6Z5 · pith_short_8: HPVTKPUL

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/HPVTKPUL6GLAW6Z55R2DL2JXQM \
  | 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: 3beb353e8bf1960b7b3dec7435e9378334fabee673dbc8eb846753c82a8601f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b41c2922ee7d34dcefecadc6bba6a06507b7792a4e9ba0b7ca8a37319cfb809",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-19T18:50:43Z",
    "title_canon_sha256": "7338b69017a52678597ea6d60212229241facbd11a2e91c6ff0ec1913a24f3e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05034",
    "kind": "arxiv",
    "version": 1
  }
}