Pith Number

pith:5PV27SHF

pith:2007:5PV27SHFKQJVVDDANFMLSC4KVR

not attested not anchored not stored refs pending

Connectivity of Addition Cayley Graphs

David J. Grynkiewicz, Oriol Serra, Vsevolod Lev

arxiv:0710.1183 v1 · 2007-10-05 · math.CO · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PV27SHFKQJVVDDANFMLSC4KVR}

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	2026-07-04T15:04:43.546743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebebafc8e554135a8c606958b90b8aac695c676d33285c80f95a08b51448541a

Aliases

arxiv: 0710.1183 · arxiv_version: 0710.1183v1 · doi: 10.48550/arxiv.0710.1183 · pith_short_12: 5PV27SHFKQJV · pith_short_16: 5PV27SHFKQJVVDDA · pith_short_8: 5PV27SHF

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/5PV27SHFKQJVVDDANFMLSC4KVR \
  | 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: ebebafc8e554135a8c606958b90b8aac695c676d33285c80f95a08b51448541a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56a61a7ad29cf2cb4e76e02d7f6c75cbf3da0bd81f5b77ddf764332517eab5e9",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-10-05T10:50:53Z",
    "title_canon_sha256": "b54d58e1a461d07f18f4282769354eb263ba584187a285f3d2a4f11e54e27625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.1183",
    "kind": "arxiv",
    "version": 1
  }
}