Pith Number

pith:SNWDBV66

pith:2017:SNWDBV66CUHJJ3FLGPZ5QK7BYS

not attested not anchored not stored refs pending

On exponential domination of the consecutive circulant graph

Michael Dairyko, Michael Young

arxiv:1712.05429 v1 · 2017-12-14 · 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{SNWDBV66CUHJJ3FLGPZ5QK7BYS}

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.

Cited by

1 paper in Pith

Closeness and Residual Closeness of Harary Graphs

Receipt and verification

First computed	2026-05-18T00:27:56.499132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

936c30d7de150e94ecab33f3d82be1c49463c595645b519630d0cf85e631c705

Aliases

arxiv: 1712.05429 · arxiv_version: 1712.05429v1 · doi: 10.48550/arxiv.1712.05429 · pith_short_12: SNWDBV66CUHJ · pith_short_16: SNWDBV66CUHJJ3FL · pith_short_8: SNWDBV66

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/SNWDBV66CUHJJ3FLGPZ5QK7BYS \
  | 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: 936c30d7de150e94ecab33f3d82be1c49463c595645b519630d0cf85e631c705

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7a863f37cd3630f075e2c29c9df01a61b9586cab203bcbc21c040ccf05ae856",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-14T19:49:07Z",
    "title_canon_sha256": "c2d4916127cd60ca325cfafd8aaf2f26a264e67cafee6cb3f8de2caa8fd8b36f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05429",
    "kind": "arxiv",
    "version": 1
  }
}