Pith Number

pith:QXBPI3UK

pith:2015:QXBPI3UK6MN5ODQZJY7NRCJAHT

not attested not anchored not stored refs pending

Resolvent Energy of Unicyclic, Bicyclic and Tricyclic Graphs

Edin Glogi\'c, Emir Zogi\'c, Ivan Gutman, Juliane Capaverde, Luiz Emilio Allem, Vilmar Trevisan

arxiv:1512.08938 v1 · 2015-12-30 · 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{QXBPI3UK6MN5ODQZJY7NRCJAHT}

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	2026-05-18T01:23:34.440121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85c2f46e8af31bd70e194e3ed889203cdefbfd1aa2486d6b519c3129d0c7f41d

Aliases

arxiv: 1512.08938 · arxiv_version: 1512.08938v1 · doi: 10.48550/arxiv.1512.08938 · pith_short_12: QXBPI3UK6MN5 · pith_short_16: QXBPI3UK6MN5ODQZ · pith_short_8: QXBPI3UK

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/QXBPI3UK6MN5ODQZJY7NRCJAHT \
  | 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: 85c2f46e8af31bd70e194e3ed889203cdefbfd1aa2486d6b519c3129d0c7f41d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5456ac55878ab7e0073668e5d3d27fd0f9017f87c2445ceb4a8f00e8c62a482",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-30T13:28:10Z",
    "title_canon_sha256": "ad2d080d68aeca805b078c0ac792449407e8c83ed3efa318c8f1e9e11fcd8f6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08938",
    "kind": "arxiv",
    "version": 1
  }
}