Pith Number

pith:QQRMMKZ3

pith:2018:QQRMMKZ3CRTH24W25L6N4SSOI5

not attested not anchored not stored refs pending

Some subgroups of a finite field and their applications for obtaining explicit factors

Manjit Singh

arxiv:1806.11052 v1 · 2018-06-27 · 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{QQRMMKZ3CRTH24W25L6N4SSOI5}

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.

Cited by

1 paper in Pith

A radially broad collisional cascade in the debris disk of $\gamma$ Ophiuchi observed by JWST

Receipt and verification

First computed	2026-05-18T00:12:07.144025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8422c62b3b14667d72daeafcde4a4e47743ae0d4dabeaf8a87628eb98535ccf1

Aliases

arxiv: 1806.11052 · arxiv_version: 1806.11052v1 · doi: 10.48550/arxiv.1806.11052 · pith_short_12: QQRMMKZ3CRTH · pith_short_16: QQRMMKZ3CRTH24W2 · pith_short_8: QQRMMKZ3

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/QQRMMKZ3CRTH24W25L6N4SSOI5 \
  | 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: 8422c62b3b14667d72daeafcde4a4e47743ae0d4dabeaf8a87628eb98535ccf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a9de35ec61b4f1d37c6608b7c170b4e9da13428dee1f0298a39ad73555c2d14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-27T03:04:30Z",
    "title_canon_sha256": "09b8217c566b74912ac806173ee4bf5b7718f8087f6504f1d9962308188ce681"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.11052",
    "kind": "arxiv",
    "version": 1
  }
}