Pith Number

pith:QWPGUTDX

pith:2015:QWPGUTDXI5REKJTYCHNZG4PBIB

not attested not anchored not stored refs pending

Relative Cayley graphs of finite groups

Ahmad Erfanian, Mehdi Rajabian, Mohammad Farrokhi Derakhshandeh Ghouchan

arxiv:1510.03605 v1 · 2015-10-13 · math.CO · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWPGUTDXI5REKJTYCHNZG4PBIB}

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	2026-05-18T01:30:16.693056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

859e6a4c77476245267811db9371e1407a9e08a3548a4f267247550e5161c7fc

Aliases

arxiv: 1510.03605 · arxiv_version: 1510.03605v1 · doi: 10.48550/arxiv.1510.03605 · pith_short_12: QWPGUTDXI5RE · pith_short_16: QWPGUTDXI5REKJTY · pith_short_8: QWPGUTDX

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/QWPGUTDXI5REKJTYCHNZG4PBIB \
  | 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: 859e6a4c77476245267811db9371e1407a9e08a3548a4f267247550e5161c7fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90e4df519561cf9c59d4b06992730cb3aa0369675375bfa88261b9410a6d40cd",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-13T09:54:39Z",
    "title_canon_sha256": "36dce92a2849e2f05eb3a8795199b5774ad568391ca1fe402b306a1108d5096e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03605",
    "kind": "arxiv",
    "version": 1
  }
}