Pith Number

pith:VRWO6QOC

pith:2025:VRWO6QOCQPME4FZOEOZPWDW55B

not attested not anchored not stored refs pending

Cut edges and Central vertices of zero divisor graph of the ring of integers modulo n

Nabajit Talukdar

arxiv:2501.18932 v2 · 2025-01-31 · 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{VRWO6QOCQPME4FZOEOZPWDW55B}

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	2026-05-20T00:05:26.865576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac6cef41c283d84e172e23b2fb0edde8422b80db843def334448a80b2b86ffce

Aliases

arxiv: 2501.18932 · arxiv_version: 2501.18932v2 · doi: 10.48550/arxiv.2501.18932 · pith_short_12: VRWO6QOCQPME · pith_short_16: VRWO6QOCQPME4FZO · pith_short_8: VRWO6QOC

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/VRWO6QOCQPME4FZOEOZPWDW55B \
  | 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: ac6cef41c283d84e172e23b2fb0edde8422b80db843def334448a80b2b86ffce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feb378b165fde5e732336e7853d5c068154d5f1e00a85733fbeec448ff24905b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-01-31T07:29:22Z",
    "title_canon_sha256": "25237bce834c69bcf966cf4f3eca4e1427c600bce2cc8fd61786191e7f3a0c8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.18932",
    "kind": "arxiv",
    "version": 2
  }
}