Pith Number

pith:PGQ5VX65

pith:2026:PGQ5VX65OK2L5ISWSG5MCCKDQW

not attested not anchored not stored refs pending

Remarks about the Moebius-Kantor graph

Oliver Knill

arxiv:2605.30799 v1 · 2026-05-29 · math.GT · cs.DM · 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{PGQ5VX65OK2L5ISWSG5MCCKDQW}

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	2026-06-01T01:03:17.488053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79a1dadfdd72b4bea25691bac1094385b1e4fb6d0408de44a083bacbd33cfc6f

Aliases

arxiv: 2605.30799 · arxiv_version: 2605.30799v1 · doi: 10.48550/arxiv.2605.30799 · pith_short_12: PGQ5VX65OK2L · pith_short_16: PGQ5VX65OK2L5ISW · pith_short_8: PGQ5VX65

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/PGQ5VX65OK2L5ISWSG5MCCKDQW \
  | 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: 79a1dadfdd72b4bea25691bac1094385b1e4fb6d0408de44a083bacbd33cfc6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46b7573ea47cbfeaf634afcc87e306b936c94023905dd2372b8fb26cd803a5ca",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-05-29T03:42:08Z",
    "title_canon_sha256": "a9f73c9faac008a5c6d8ee16544cfbb3d0682d50f5a7eb3b43e595b0f556e538"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30799",
    "kind": "arxiv",
    "version": 1
  }
}