Pith Number

pith:M3KQ6UTW

pith:2012:M3KQ6UTWWMQ5NVP5VUAIFMFXVH

not attested not anchored not stored refs pending

On distance-regular Cayley graphs on abelian groups

Primoz Sparl, Stefko Miklavic

arxiv:1205.6948 v1 · 2012-05-31 · 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{M3KQ6UTWWMQ5NVP5VUAIFMFXVH}

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	2026-05-18T03:54:36.537755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66d50f5276b321d6d5fdad0082b0b7a9ee59ce2aa201f2b53397f40bd58af6a4

Aliases

arxiv: 1205.6948 · arxiv_version: 1205.6948v1 · doi: 10.48550/arxiv.1205.6948 · pith_short_12: M3KQ6UTWWMQ5 · pith_short_16: M3KQ6UTWWMQ5NVP5 · pith_short_8: M3KQ6UTW

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/M3KQ6UTWWMQ5NVP5VUAIFMFXVH \
  | 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: 66d50f5276b321d6d5fdad0082b0b7a9ee59ce2aa201f2b53397f40bd58af6a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5915e6e6425e11a3916fcad91d6a0fe39b9a89686ba9105da166e64dac56e0c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-31T10:22:18Z",
    "title_canon_sha256": "9a63430db5e8ac041dddf87c35ebfcc3dc0c09c7dfd4c6f30f91ab6472dd0686"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6948",
    "kind": "arxiv",
    "version": 1
  }
}