Pith Number

pith:P6YU47T6

pith:2016:P6YU47T6LY5Y3JOUOGSVGILXMM

not attested not anchored not stored refs pending

Hermitian-Randi\'c matrix and Hermitian-Randi\'c energy of mixed graphs

Ligong Wang, Qiannan Zhou, Yong Lu

arxiv:1610.09783 v1 · 2016-10-31 · 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{P6YU47T6LY5Y3JOUOGSVGILXMM}

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	2026-05-18T01:00:47.194108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fb14e7e7e5e3b8da5d471a55321776320df576e29b9245f39dc492789a01aaa

Aliases

arxiv: 1610.09783 · arxiv_version: 1610.09783v1 · doi: 10.48550/arxiv.1610.09783 · pith_short_12: P6YU47T6LY5Y · pith_short_16: P6YU47T6LY5Y3JOU · pith_short_8: P6YU47T6

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/P6YU47T6LY5Y3JOUOGSVGILXMM \
  | 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: 7fb14e7e7e5e3b8da5d471a55321776320df576e29b9245f39dc492789a01aaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4177f99a8c8c57be52cab63e0dfb1ff64497358b93bc22215d9fc9b648f3f0f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-31T04:13:31Z",
    "title_canon_sha256": "b088502aaa30d1a7a4d49e03b823b87212dcd9080fcd558fa8656f3260c43071"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09783",
    "kind": "arxiv",
    "version": 1
  }
}