Pith Number

pith:AGBGBSPI

pith:2016:AGBGBSPIQG5FS5IL63EEBW5JIB

not attested not anchored not stored refs pending

On Jacobian group and complexity of the generalized Petersen graph GP(n,k) through Chebyshev polynomials

(2) Sobolev Institute of Mathematics, 3, (3) Novosibirsk State University, 4), 4) ((1) Yengnam University, (4) Siberian Federal University, A. D. Mednykh (2, I. A. Mednykh (2, Krasnoyarsk, Novosibirsk, Russia, Russia), South Korea, Yengnam, Y. S. Kwon (1)

arxiv:1612.03372 v1 · 2016-12-11 · 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{AGBGBSPIQG5FS5IL63EEBW5JIB}

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	2026-05-18T00:55:19.410557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

018260c9e881ba59750bf6c840dba94075e9bc88b3eea4dd5e979676f385b22b

Aliases

arxiv: 1612.03372 · arxiv_version: 1612.03372v1 · doi: 10.48550/arxiv.1612.03372 · pith_short_12: AGBGBSPIQG5F · pith_short_16: AGBGBSPIQG5FS5IL · pith_short_8: AGBGBSPI

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/AGBGBSPIQG5FS5IL63EEBW5JIB \
  | 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: 018260c9e881ba59750bf6c840dba94075e9bc88b3eea4dd5e979676f385b22b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50c476fa88473a95a76f1ca2abbdb62e5cc1f6620a45ac1fe261594d4261b329",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-11T05:04:53Z",
    "title_canon_sha256": "991c1e3ee97a8aec4c26a354706346a48f4d9a854b937b068a9608bbbde3e566"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03372",
    "kind": "arxiv",
    "version": 1
  }
}