Pith Number

pith:7ZRAUB54

pith:2011:7ZRAUB54HWY6QW3OYZ5KJ47ZMY

not attested not anchored not stored refs pending

On groups with Cayley graph isomorphic to a cube

Colin Hagemeyer, Richard Scott

arxiv:1111.2570 v2 · 2011-11-10 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7ZRAUB54HWY6QW3OYZ5KJ47ZMY}

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	2026-05-18T04:04:44.607608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe620a07bc3db1e85b6ec67aa4f3f9660fe6e7ae4dec277adede51979ac3156a

Aliases

arxiv: 1111.2570 · arxiv_version: 1111.2570v2 · doi: 10.48550/arxiv.1111.2570 · pith_short_12: 7ZRAUB54HWY6 · pith_short_16: 7ZRAUB54HWY6QW3O · pith_short_8: 7ZRAUB54

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/7ZRAUB54HWY6QW3OYZ5KJ47ZMY \
  | 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: fe620a07bc3db1e85b6ec67aa4f3f9660fe6e7ae4dec277adede51979ac3156a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a079d074f8ff67bbc5752441f0b34bd5c1509dc6590f9ff34f414a53ce4f107",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-11-10T19:30:41Z",
    "title_canon_sha256": "351b0e8d93b474e346411af5c6d876f49feade80b8bdf0e9968d574e1e896557"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2570",
    "kind": "arxiv",
    "version": 2
  }
}