Pith Number

pith:YLIDONZC

pith:2011:YLIDONZC5ZNJAT23QNQ5WUPMBD

not attested not anchored not stored refs pending

A Witt-Burnside ring attached to a pro-dihedral group

Lance Edward Miller

arxiv:1111.2538 v2 · 2011-11-10 · math.AC · 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{YLIDONZC5ZNJAT23QNQ5WUPMBD}

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	2026-05-18T03:43:27.232229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2d0373722ee5a904f5b8361db51ec08e1b0a2a01661d92f9d22b4ee9f2cb5e7

Aliases

arxiv: 1111.2538 · arxiv_version: 1111.2538v2 · doi: 10.48550/arxiv.1111.2538 · pith_short_12: YLIDONZC5ZNJ · pith_short_16: YLIDONZC5ZNJAT23 · pith_short_8: YLIDONZC

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/YLIDONZC5ZNJAT23QNQ5WUPMBD \
  | 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: c2d0373722ee5a904f5b8361db51ec08e1b0a2a01661d92f9d22b4ee9f2cb5e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84462ee8337db53a4ae524f43e634d46e94d251765b385d63e6d2d5b9981280d",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-11-10T17:57:55Z",
    "title_canon_sha256": "e15bea186cfba44dd3c4877abe8bae4a68d793801dcce2df6215fb5a74fe3f5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2538",
    "kind": "arxiv",
    "version": 2
  }
}