Pith Number

pith:YLRRNFEM

pith:2016:YLRRNFEMFMHGSK3ZW5XQC2TEM6

not attested not anchored not stored refs pending

Unitification of Weakly p.q.-Baer *-Rings

Anil Khairnar, B.N. Waphare

arxiv:1612.01681 v1 · 2016-12-06 · math.CO · 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{YLRRNFEMFMHGSK3ZW5XQC2TEM6}

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	2026-05-18T00:55:47.850829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2e316948c2b0e692b79b76f016a6467a5208513a05607ea39112d8c00ce4a23

Aliases

arxiv: 1612.01681 · arxiv_version: 1612.01681v1 · doi: 10.48550/arxiv.1612.01681 · pith_short_12: YLRRNFEMFMHG · pith_short_16: YLRRNFEMFMHGSK3Z · pith_short_8: YLRRNFEM

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/YLRRNFEMFMHGSK3ZW5XQC2TEM6 \
  | 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: c2e316948c2b0e692b79b76f016a6467a5208513a05607ea39112d8c00ce4a23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cc2aabca7ff06d2382b919757d1bd4586d90415807dec7846743abed3aac27e",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-06T06:31:00Z",
    "title_canon_sha256": "5ce39ee947a568794e86e95f1c45286c5209e6a26390a784666889857a076ff9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01681",
    "kind": "arxiv",
    "version": 1
  }
}