Pith Number

pith:ZEVS6U6W

pith:2019:ZEVS6U6WWCXMK4HOG46W7Q3TRG

not attested not anchored not stored refs pending

First and Second Maximum of Randi\'{c} Index Among all $k-$Cyclic Graphs of a Given Order

Ali Ghalavand, Ali Reza Ashrafi, Marzieh Pourbabaee

arxiv:1907.10996 v1 · 2019-07-25 · 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{ZEVS6U6WWCXMK4HOG46W7Q3TRG}

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	2026-05-17T23:39:33.790261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c92b2f53d6b0aec570ee373d6fc37389a57755205b252dfa910a7ea5c8d04784

Aliases

arxiv: 1907.10996 · arxiv_version: 1907.10996v1 · doi: 10.48550/arxiv.1907.10996 · pith_short_12: ZEVS6U6WWCXM · pith_short_16: ZEVS6U6WWCXMK4HO · pith_short_8: ZEVS6U6W

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/ZEVS6U6WWCXMK4HOG46W7Q3TRG \
  | 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: c92b2f53d6b0aec570ee373d6fc37389a57755205b252dfa910a7ea5c8d04784

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff8f39e1e3d1d25c23ca0755f90288451747d343ccacb0561186c50b50f34d87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-25T12:10:26Z",
    "title_canon_sha256": "6bebafdc7df4927fbf550c955f2b00559e96c58acc0bd450ee0e71c316c7dbdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.10996",
    "kind": "arxiv",
    "version": 1
  }
}