Pith Number

pith:DX37ZCZD

pith:2018:DX37ZCZD46JUOPLNT5YSCPFKEU

not attested not anchored not stored refs pending

On the sum of $k$-th largest distance eigenvalues of graphs

Huiqiu Lin

arxiv:1805.09661 v1 · 2018-05-24 · 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{DX37ZCZD46JUOPLNT5YSCPFKEU}

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	2026-05-18T00:15:03.221702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1df7fc8b23e793473d6d9f71213caa253cc5fccab126935898285082d6286616

Aliases

arxiv: 1805.09661 · arxiv_version: 1805.09661v1 · doi: 10.48550/arxiv.1805.09661 · pith_short_12: DX37ZCZD46JU · pith_short_16: DX37ZCZD46JUOPLN · pith_short_8: DX37ZCZD

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/DX37ZCZD46JUOPLNT5YSCPFKEU \
  | 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: 1df7fc8b23e793473d6d9f71213caa253cc5fccab126935898285082d6286616

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2e2f7bf738d0775a2acf24941bd9ea40ac4ba61bf3f7e11ac95f0be97069008",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-24T13:40:52Z",
    "title_canon_sha256": "36dcc9a2637361e218e77d02e2e7d81fd3afcc87b66827c0063149976138cb5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09661",
    "kind": "arxiv",
    "version": 1
  }
}