Pith Number

pith:XZB7ULFD

pith:2018:XZB7ULFDAJM7VSBFI5IKAT3MFI

not attested not anchored not stored refs pending

Graphs that are cospectral for the distance Laplacian

Boris Brimkov, Carolyn Reinhart, Kate Lorenzen, Ken Duna, Leslie Hogben, Mark Yarrow, Sung-Yell Song

arxiv:1812.05734 v1 · 2018-12-13 · 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{XZB7ULFDAJM7VSBFI5IKAT3MFI}

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	2026-05-17T23:58:18.376821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be43fa2ca30259fac8254750a04f6c2a20a03c04f69e89b9bc0c8663086739b3

Aliases

arxiv: 1812.05734 · arxiv_version: 1812.05734v1 · doi: 10.48550/arxiv.1812.05734 · pith_short_12: XZB7ULFDAJM7 · pith_short_16: XZB7ULFDAJM7VSBF · pith_short_8: XZB7ULFD

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/XZB7ULFDAJM7VSBFI5IKAT3MFI \
  | 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: be43fa2ca30259fac8254750a04f6c2a20a03c04f69e89b9bc0c8663086739b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "060a7e7c70a2f2b458ca07d529448fb613c936c8a8b27770e1770ba962b7f01d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-13T23:49:31Z",
    "title_canon_sha256": "665db3d9d0171f0be3b86bd07f8c38330cbd9cba40bd6af5d3ef9491c2ba7f7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05734",
    "kind": "arxiv",
    "version": 1
  }
}