Pith Number

pith:5JJJGI5O

pith:2015:5JJJGI5ORVXTZNC53E3NBCNKB7

not attested not anchored not stored refs pending

Vertex-transitive graphs and their arc-types

Arjana \v{Z}itnik, Marston Conder, Toma\v{z} Pisanski

arxiv:1505.02029 v1 · 2015-05-08 · 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{5JJJGI5ORVXTZNC53E3NBCNKB7}

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	2026-05-18T02:16:38.130036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea529323ae8d6f3cb45dd936d089aa0ff7e251823d804e17453816a35fef2b4b

Aliases

arxiv: 1505.02029 · arxiv_version: 1505.02029v1 · doi: 10.48550/arxiv.1505.02029 · pith_short_12: 5JJJGI5ORVXT · pith_short_16: 5JJJGI5ORVXTZNC5 · pith_short_8: 5JJJGI5O

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/5JJJGI5ORVXTZNC53E3NBCNKB7 \
  | 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: ea529323ae8d6f3cb45dd936d089aa0ff7e251823d804e17453816a35fef2b4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5ef91f35c0a8b2b953b5c3289e09e6874025abf4938757c4b340699e59ffe3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-08T13:22:37Z",
    "title_canon_sha256": "ca59e55b6a98b7c52e326e056cb5a1cd795fb3af856a1d5122f780ed5be04ef9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02029",
    "kind": "arxiv",
    "version": 1
  }
}