Pith Number

pith:TX2N7BUP

pith:2017:TX2N7BUPB36QXBNSFWECVZT44D

not attested not anchored not stored refs pending

Eigenvalues and Wiener index of the Zero Divisor graph $\Gamma[\mathbb {Z}_n]$

B. Surendranath Reddy, N. Laxmikanth, Rupali. S. Jain

arxiv:1707.05083 v1 · 2017-07-17 · math.RA · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TX2N7BUPB36QXBNSFWECVZT44D}

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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	2026-05-18T00:40:11.439958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9df4df868f0efd0b85b22d882ae67ce0ed3757da50486370836ae19db5492fa4

Aliases

arxiv: 1707.05083 · arxiv_version: 1707.05083v1 · doi: 10.48550/arxiv.1707.05083 · pith_short_12: TX2N7BUPB36Q · pith_short_16: TX2N7BUPB36QXBNS · pith_short_8: TX2N7BUP

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/TX2N7BUPB36QXBNSFWECVZT44D \
  | 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: 9df4df868f0efd0b85b22d882ae67ce0ed3757da50486370836ae19db5492fa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdac086809dec55d89482b2d938770f27d62cc320042520eda11868a8bf1e86a",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-07-17T10:39:00Z",
    "title_canon_sha256": "267d0167ac49f41479bdae29c4b3e7923ca3e001fb5b7c0f18f33d5f41af02a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05083",
    "kind": "arxiv",
    "version": 1
  }
}