Pith Number

pith:W6GVMQ4R

pith:2015:W6GVMQ4RW5ECBUXXAXXJ5P63AK

not attested not anchored not stored refs pending

Half-arc-transitive graphs of arbitrary even valency greater than 2

Arjana \v{Z}itnik, Marston D.E. Conder

arxiv:1505.02299 v1 · 2015-05-09 · 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{W6GVMQ4RW5ECBUXXAXXJ5P63AK}

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	2026-05-18T02:16:19.277900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b78d564391b74820d2f705ee9ebfdb029b83e22a83d5611aa8faea3376b4668b

Aliases

arxiv: 1505.02299 · arxiv_version: 1505.02299v1 · doi: 10.48550/arxiv.1505.02299 · pith_short_12: W6GVMQ4RW5EC · pith_short_16: W6GVMQ4RW5ECBUXX · pith_short_8: W6GVMQ4R

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/W6GVMQ4RW5ECBUXXAXXJ5P63AK \
  | 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: b78d564391b74820d2f705ee9ebfdb029b83e22a83d5611aa8faea3376b4668b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44b10935be754db6867df6a8c8d86ab02e4508f2e455c0064eb26567c324daed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-09T18:12:02Z",
    "title_canon_sha256": "e720c5ae34115dcecd4d0dcb57e45343b6dff1c516b292b01e3c80c059c3135b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02299",
    "kind": "arxiv",
    "version": 1
  }
}