Pith Number

pith:AVEU7FWY

pith:2013:AVEU7FWYZ3UY5CFSDXUEM6ENUM

not attested not anchored not stored refs pending

Extremal unicyclic graphs with respect to additively weighted Harary index

Jelena Sedlar

arxiv:1306.4164 v1 · 2013-06-18 · 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{AVEU7FWYZ3UY5CFSDXUEM6ENUM}

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	2026-05-18T03:20:36.929633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05494f96d8cee98e88b21de846788da30b207765f09d0b1856f703fff5d50275

Aliases

arxiv: 1306.4164 · arxiv_version: 1306.4164v1 · doi: 10.48550/arxiv.1306.4164 · pith_short_12: AVEU7FWYZ3UY · pith_short_16: AVEU7FWYZ3UY5CFS · pith_short_8: AVEU7FWY

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/AVEU7FWYZ3UY5CFSDXUEM6ENUM \
  | 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: 05494f96d8cee98e88b21de846788da30b207765f09d0b1856f703fff5d50275

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52836db3657737fa9dcf641fb24bcdaedf922c6586d8ec05a9d2f386d4bb529f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-18T12:39:22Z",
    "title_canon_sha256": "6c3ffac7805a9b229cc3c5ec11045ad29a765d97c0eccd549d1b104cbd5f1c75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4164",
    "kind": "arxiv",
    "version": 1
  }
}