Pith Number

pith:2AD4HK4D

pith:2017:2AD4HK4DGH677BYZTYPINXDIOL

not attested not anchored not stored refs pending

Asymptotically approaching the Moore bound for diameter three by Cayley graphs

Jana \v{S}iagiov\'a, Jozef \v{S}ir\'a\v{n}, Martin Bachrat\'y

arxiv:1709.09760 v1 · 2017-09-27 · 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{2AD4HK4DGH677BYZTYPINXDIOL}

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	2026-05-18T00:34:06.838112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d007c3ab8331fdff87199e1e86dc6872d12f6d749fcc6031580e8017f7ca706b

Aliases

arxiv: 1709.09760 · arxiv_version: 1709.09760v1 · doi: 10.48550/arxiv.1709.09760 · pith_short_12: 2AD4HK4DGH67 · pith_short_16: 2AD4HK4DGH677BYZ · pith_short_8: 2AD4HK4D

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/2AD4HK4DGH677BYZTYPINXDIOL \
  | 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: d007c3ab8331fdff87199e1e86dc6872d12f6d749fcc6031580e8017f7ca706b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76321a7f15d671910b56431427db966e2db00b3959a10b0864f2d16ac18e11c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-27T23:13:27Z",
    "title_canon_sha256": "c010a2a3bebc9ca18c62fcae6eb6a52dd7cc4f8703cbe84ac45aed675f861b30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09760",
    "kind": "arxiv",
    "version": 1
  }
}