Pith Number

pith:ZAVLJYQB

pith:2015:ZAVLJYQBSVX3MUCHLIEP74ULMQ

not attested not anchored not stored refs pending

Cayley graphs of diameter two from difference sets

Alexander Pott, Yue Zhou

arxiv:1506.05780 v1 · 2015-06-18 · 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{ZAVLJYQBSVX3MUCHLIEP74ULMQ}

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	2026-05-18T01:44:09.701076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c82ab4e201956fb650475a08fff28b642e5292209f387148f471dcc4e81b487b

Aliases

arxiv: 1506.05780 · arxiv_version: 1506.05780v1 · doi: 10.48550/arxiv.1506.05780 · pith_short_12: ZAVLJYQBSVX3 · pith_short_16: ZAVLJYQBSVX3MUCH · pith_short_8: ZAVLJYQB

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/ZAVLJYQBSVX3MUCHLIEP74ULMQ \
  | 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: c82ab4e201956fb650475a08fff28b642e5292209f387148f471dcc4e81b487b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "168926ab45059cba187dba4247ce690aab6e1a75b5263b3901c77731e19a8934",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-18T19:30:35Z",
    "title_canon_sha256": "749c4bfe9761ae2c89a1ec552ca919b9916a63e8edf685a3e4943632f0f5f0e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05780",
    "kind": "arxiv",
    "version": 1
  }
}