Pith Number

pith:VOCMMOP6

pith:2016:VOCMMOP63IAI4MKPA2TMUXP7ZU

not attested not anchored not stored refs pending

Equiangular line systems and switching classes containing regular graphs

Gary R. W. Greaves

arxiv:1612.03644 v3 · 2016-12-12 · 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{VOCMMOP63IAI4MKPA2TMUXP7ZU}

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	2026-05-17T23:55:10.022024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab84c639feda008e314f06a6ca5dffcd1ad4a8ef16511ae001d8f1ace786bd98

Aliases

arxiv: 1612.03644 · arxiv_version: 1612.03644v3 · doi: 10.48550/arxiv.1612.03644 · pith_short_12: VOCMMOP63IAI · pith_short_16: VOCMMOP63IAI4MKP · pith_short_8: VOCMMOP6

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/VOCMMOP63IAI4MKPA2TMUXP7ZU \
  | 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: ab84c639feda008e314f06a6ca5dffcd1ad4a8ef16511ae001d8f1ace786bd98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d99b035e78b0167f7752d58817d020bbb583b2ba7144808785a58da41faa1aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-12T12:30:10Z",
    "title_canon_sha256": "6a8785f62f6e14509b517521399f5fe97e8bc608f8bdbde102d29dd16228edb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03644",
    "kind": "arxiv",
    "version": 3
  }
}