Pith Number

pith:LVI5EU7G

pith:2016:LVI5EU7GV2U3WOU5UV2MKL37KM

not attested not anchored not stored refs pending

A note on the minimum reduced reciprocal Randi\'c index of n-vertex unicyclic graphs

Akbar Ali, Akhlaq Ahmad Bhatti

arxiv:1601.04044 v1 · 2016-01-15 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LVI5EU7GV2U3WOU5UV2MKL37KM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:34:31.828242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d51d253e6aea9bb3a9da574c52f7f53156cf2c95f5bcc60a2efa29be2d57f24

Aliases

arxiv: 1601.04044 · arxiv_version: 1601.04044v1 · doi: 10.48550/arxiv.1601.04044 · pith_short_12: LVI5EU7GV2U3 · pith_short_16: LVI5EU7GV2U3WOU5 · pith_short_8: LVI5EU7G

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/LVI5EU7GV2U3WOU5UV2MKL37KM \
  | 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: 5d51d253e6aea9bb3a9da574c52f7f53156cf2c95f5bcc60a2efa29be2d57f24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7075f7ec4b0bad66308c788c6b72fe41a0ef8d49a605831d4e3d204a3ca90e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-15T19:37:47Z",
    "title_canon_sha256": "58087ddffe5e2dcba52e253426a4c1ccd9d07cc189b6e1e63a9f83459e35e872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04044",
    "kind": "arxiv",
    "version": 1
  }
}