Pith Number

pith:N4ESMP7S

pith:2018:N4ESMP7SDVI2PSQI2EMSD333OT

not attested not anchored not stored refs pending

On the Carmichael rings, Carmichael ideals and Carmichael polynomials

Min Sha, Su Hu, Sunghan Bae

arxiv:1809.05432 v2 · 2018-09-14 · math.NT · math.AC · 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{N4ESMP7SDVI2PSQI2EMSD333OT}

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	2026-05-17T23:46:41.627800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f09263ff21d51a7ca08d11921ef7b74e6bdde0833357001207879fb9dd1613c

Aliases

arxiv: 1809.05432 · arxiv_version: 1809.05432v2 · doi: 10.48550/arxiv.1809.05432 · pith_short_12: N4ESMP7SDVI2 · pith_short_16: N4ESMP7SDVI2PSQI · pith_short_8: N4ESMP7S

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/N4ESMP7SDVI2PSQI2EMSD333OT \
  | 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: 6f09263ff21d51a7ca08d11921ef7b74e6bdde0833357001207879fb9dd1613c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "550730793f0d994037e986784eeefa35852e47381784340bca31392d5fffe589",
    "cross_cats_sorted": [
      "math.AC",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-14T14:13:38Z",
    "title_canon_sha256": "4c49dc779f6d00112e1e237ea42f0c1a9ba0227794e1e18e5826a698c13d8638"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05432",
    "kind": "arxiv",
    "version": 2
  }
}