Pith Number

pith:CBBDSB75

pith:2010:CBBDSB75GWYBN2JFMHPS6MNZEW

not attested not anchored not stored refs pending

p-Tower Groups over Quadratic Imaginary Number Fields

Cam McLeman

arxiv:1008.3003 v1 · 2010-08-18 · math.NT · 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{CBBDSB75GWYBN2JFMHPS6MNZEW}

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	2026-05-18T04:42:03.746029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10423907fd35b016e92561df2f31b925b11bbe0909a530662add68873669325b

Aliases

arxiv: 1008.3003 · arxiv_version: 1008.3003v1 · doi: 10.48550/arxiv.1008.3003 · pith_short_12: CBBDSB75GWYB · pith_short_16: CBBDSB75GWYBN2JF · pith_short_8: CBBDSB75

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/CBBDSB75GWYBN2JFMHPS6MNZEW \
  | 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: 10423907fd35b016e92561df2f31b925b11bbe0909a530662add68873669325b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f89081babb94df2d6eba5be53bc70ad7c1839ba3ef34351c7e25d5adceeed650",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-18T03:44:25Z",
    "title_canon_sha256": "66fb387a461fd55bbf9a390ad46f9af342bc19eaee78d4c4a0e73eddc7ba28d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3003",
    "kind": "arxiv",
    "version": 1
  }
}