Pith Number

pith:USMOLNZ4

pith:2026:USMOLNZ4YUG3RVMJMPBQY5CRMO

not attested not anchored not stored refs pending

String C-groups of 2-power order project onto a common string C-group

Dong-Dong Hou, Egon Schulte

arxiv:2605.20691 v1 · 2026-05-20 · math.GR · 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{USMOLNZ4YUG3RVMJMPBQY5CRMO}

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	2026-05-21T01:04:49.417821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a498e5b73cc50db8d58963c30c745163bbb4be7920d97723beef585bfeb52108

Aliases

arxiv: 2605.20691 · arxiv_version: 2605.20691v1 · doi: 10.48550/arxiv.2605.20691 · pith_short_12: USMOLNZ4YUG3 · pith_short_16: USMOLNZ4YUG3RVMJ · pith_short_8: USMOLNZ4

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/USMOLNZ4YUG3RVMJMPBQY5CRMO \
  | 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: a498e5b73cc50db8d58963c30c745163bbb4be7920d97723beef585bfeb52108

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87943d5d03fc39361a8fcb409d869708d632fd2738ead36d41a11c902f4a8d15",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-05-20T04:38:23Z",
    "title_canon_sha256": "718d2b7c6ae157ed789a059ce916069f28abc950944245811bc9184399adcbd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20691",
    "kind": "arxiv",
    "version": 1
  }
}