Pith Number

pith:O4TVPYJA

pith:2015:O4TVPYJAFYEQWWD3JNZKNJ23QB

not attested not anchored not stored refs pending

On Color Preserving Automorphisms of Cayley Graphs of Odd Square-free Order

Ademir Hujdurovi\'c, Edward Dobson, Joy Morris, Klavdija Kutnar

arxiv:1512.00239 v1 · 2015-12-01 · 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{O4TVPYJAFYEQWWD3JNZKNJ23QB}

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	2026-05-18T01:25:32.382008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

772757e1202e090b587b4b72a6a75b8066b64155591c81d6539e4e2105830d62

Aliases

arxiv: 1512.00239 · arxiv_version: 1512.00239v1 · doi: 10.48550/arxiv.1512.00239 · pith_short_12: O4TVPYJAFYEQ · pith_short_16: O4TVPYJAFYEQWWD3 · pith_short_8: O4TVPYJA

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/O4TVPYJAFYEQWWD3JNZKNJ23QB \
  | 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: 772757e1202e090b587b4b72a6a75b8066b64155591c81d6539e4e2105830d62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9e51e98239f83f4dfe695fcda9962a1e592c78a140b4de064ac5a4142a0d490",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-01T12:33:54Z",
    "title_canon_sha256": "b5fba78cf0ba62d18d7a4d3fe1ec3dce57a934e83d33acbc9874261b428bc062"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00239",
    "kind": "arxiv",
    "version": 1
  }
}