Pith Number

pith:4CJXBBJE

pith:2016:4CJXBBJEQUTX7OJJKWG5ETJFZG

not attested not anchored not stored refs pending

Ordering Unicyclic Graphs with Respect to F-index

Ruhul Amin, Sk. Md. Abu Nayeem

arxiv:1609.01128 v1 · 2016-09-05 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CJXBBJEQUTX7OJJKWG5ETJFZG}

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	2026-05-18T01:06:18.976386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e09370852485277fb929558dd24d25c98dde105d3360ba321dc12e0f7f4d083a

Aliases

arxiv: 1609.01128 · arxiv_version: 1609.01128v1 · doi: 10.48550/arxiv.1609.01128 · pith_short_12: 4CJXBBJEQUTX · pith_short_16: 4CJXBBJEQUTX7OJJ · pith_short_8: 4CJXBBJE

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/4CJXBBJEQUTX7OJJKWG5ETJFZG \
  | 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: e09370852485277fb929558dd24d25c98dde105d3360ba321dc12e0f7f4d083a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07b34533508567025d558bbf9c78d9a28970efc7eef5eb2fa75525da45b041de",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-05T12:27:16Z",
    "title_canon_sha256": "b2624f5da0ceb280e002a8d92fa6fb8b2e0903d1840d2582da2e12503a24eba2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01128",
    "kind": "arxiv",
    "version": 1
  }
}