Pith Number

pith:UGXJ5T2Z

pith:2012:UGXJ5T2ZXOANUR3IUH3D5MR7G7

not attested not anchored not stored refs pending

On Commutation Semigroups of Dihedral Groups

Charles Edmunds, Christopher Levy, Darien DeWolf

arxiv:1210.2568 v2 · 2012-10-09 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UGXJ5T2ZXOANUR3IUH3D5MR7G7}

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	2026-05-18T03:32:05.224341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1ae9ecf59bb80da4768a1f63eb23f37f67c2f3de70e4cbaabf63d05417eae4d

Aliases

arxiv: 1210.2568 · arxiv_version: 1210.2568v2 · doi: 10.48550/arxiv.1210.2568 · pith_short_12: UGXJ5T2ZXOAN · pith_short_16: UGXJ5T2ZXOANUR3I · pith_short_8: UGXJ5T2Z

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/UGXJ5T2ZXOANUR3IUH3D5MR7G7 \
  | 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: a1ae9ecf59bb80da4768a1f63eb23f37f67c2f3de70e4cbaabf63d05417eae4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9239c777b23e7a94b608c4b31ee70c02143b8aba7354f2b5902eb33e91b0dba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-10-09T11:32:47Z",
    "title_canon_sha256": "4ca42080566f9718ba52c951da61aa50864ecd531a06682d12dda1ef8c1f5b4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2568",
    "kind": "arxiv",
    "version": 2
  }
}