Pith Number

pith:KCA3BRMD

pith:2017:KCA3BRMD7EEJCDU5BB4RZ7BRR7

not attested not anchored not stored refs pending

The number of spanning trees in circulant graphs, its arithmetic properties and asymptotic

Alexander Mednykh, Ilya Mednykh

arxiv:1711.00175 v2 · 2017-11-01 · 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{KCA3BRMD7EEJCDU5BB4RZ7BRR7}

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	2026-05-18T00:27:56.821922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5081b0c583f908910e9d08791cfc318fdf50e19a68d3fe71fab9e43c915ed96a

Aliases

arxiv: 1711.00175 · arxiv_version: 1711.00175v2 · doi: 10.48550/arxiv.1711.00175 · pith_short_12: KCA3BRMD7EEJ · pith_short_16: KCA3BRMD7EEJCDU5 · pith_short_8: KCA3BRMD

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/KCA3BRMD7EEJCDU5BB4RZ7BRR7 \
  | 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: 5081b0c583f908910e9d08791cfc318fdf50e19a68d3fe71fab9e43c915ed96a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "116cb37aed64bd4248cf049d18aefa74431937456f1e19881d00c9da79393ef9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-01T02:48:12Z",
    "title_canon_sha256": "4517372cab340ed49d74e9c4617b402b677c68c5eb3ad7fe25929d0acf38a3a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.00175",
    "kind": "arxiv",
    "version": 2
  }
}