Pith Number

pith:CMO2DFNN

pith:2018:CMO2DFNNJQMPAEE6JLJF4FA7AF

not attested not anchored not stored refs pending

Notes on the Frobenius test exponents

Duong Thi Huong, Pham Hung Quy

arxiv:1801.04827 v2 · 2018-01-15 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CMO2DFNNJQMPAEE6JLJF4FA7AF}

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	2026-05-18T00:04:13.338574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

131da195ad4c18f0109e4ad25e141f01782d3a243dd69993e2a62d594c796ad2

Aliases

arxiv: 1801.04827 · arxiv_version: 1801.04827v2 · doi: 10.48550/arxiv.1801.04827 · pith_short_12: CMO2DFNNJQMP · pith_short_16: CMO2DFNNJQMPAEE6 · pith_short_8: CMO2DFNN

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/CMO2DFNNJQMPAEE6JLJF4FA7AF \
  | 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: 131da195ad4c18f0109e4ad25e141f01782d3a243dd69993e2a62d594c796ad2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e2c909520be728ca35afc6c15bad71c86d1a85aee535f8ae856b16e955af0c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-01-15T14:42:53Z",
    "title_canon_sha256": "93c45977b4a1af1551af8de011bf7058b9c0650bb87879fc3ca8b030b08ffffe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04827",
    "kind": "arxiv",
    "version": 2
  }
}