Pith Number

pith:KT62M6FC

pith:2018:KT62M6FCZMCFFLQGBDLSIHB5ZD

not attested not anchored not stored refs pending

On rationality of generating function for the number of spanning trees in circulant graphs

A. D. Mednykh, I. A. Mednykh

arxiv:1811.03803 v1 · 2018-11-09 · 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{KT62M6FCZMCFFLQGBDLSIHB5ZD}

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	2026-05-18T00:01:11.974300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54fda678a2cb0452ae0608d7241c3dc8f7db91ff4d7a8835ec990e564fbcf3b1

Aliases

arxiv: 1811.03803 · arxiv_version: 1811.03803v1 · doi: 10.48550/arxiv.1811.03803 · pith_short_12: KT62M6FCZMCF · pith_short_16: KT62M6FCZMCFFLQG · pith_short_8: KT62M6FC

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/KT62M6FCZMCFFLQGBDLSIHB5ZD \
  | 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: 54fda678a2cb0452ae0608d7241c3dc8f7db91ff4d7a8835ec990e564fbcf3b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c22fc5cbe73ecb38e64a59e29367a5fd8d245079aa306352e22bdef336a6a054",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-09T07:36:29Z",
    "title_canon_sha256": "4dbdaf35173d187097c6082735220e2f2b2228ef030135fad75a03789d3b2676"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03803",
    "kind": "arxiv",
    "version": 1
  }
}