Pith Number

pith:J3JRNDD7

pith:2016:J3JRNDD7U4PHVLJFTYE75BNE5L

not attested not anchored not stored refs pending

On commuting probability of finite rings II

Parama Dutta, Rajat Kanti Nath

arxiv:1611.01926 v1 · 2016-11-07 · 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{J3JRNDD7U4PHVLJFTYE75BNE5L}

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	2026-05-18T01:00:04.157638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ed3168c7fa71e7aad259e09fe85a4eaf4f12f7adc363e60d9e2bda974bd4fa2

Aliases

arxiv: 1611.01926 · arxiv_version: 1611.01926v1 · doi: 10.48550/arxiv.1611.01926 · pith_short_12: J3JRNDD7U4PH · pith_short_16: J3JRNDD7U4PHVLJF · pith_short_8: J3JRNDD7

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/J3JRNDD7U4PHVLJFTYE75BNE5L \
  | 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: 4ed3168c7fa71e7aad259e09fe85a4eaf4f12f7adc363e60d9e2bda974bd4fa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdacbfeff42c99a3529e7010201d33d9a693fcbfa97d36ddd8527f96b8109e1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-11-07T07:54:35Z",
    "title_canon_sha256": "03c88c153edf52b85251ff93a3d97b7a0f07bb1318ac7cf0b55e76751669030a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01926",
    "kind": "arxiv",
    "version": 1
  }
}