Pith Number

pith:MBFDXK5W

pith:2018:MBFDXK5WV3P5AENHLRTSUZZ5PB

not attested not anchored not stored refs pending

Quadratic non-residues and non-primitive roots satisfying a coprimality condition

Bidisha Roy, Jaitra Chattopadhyay, R. Thangadurai, Subha Sarkar

arxiv:1809.04827 v1 · 2018-09-13 · 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{MBFDXK5WV3P5AENHLRTSUZZ5PB}

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	2026-05-18T00:05:49.495970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

604a3babb6aedfd011a75c672a673d7872ace3570f78c37d44541c132cbf11d8

Aliases

arxiv: 1809.04827 · arxiv_version: 1809.04827v1 · doi: 10.48550/arxiv.1809.04827 · pith_short_12: MBFDXK5WV3P5 · pith_short_16: MBFDXK5WV3P5AENH · pith_short_8: MBFDXK5W

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/MBFDXK5WV3P5AENHLRTSUZZ5PB \
  | 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: 604a3babb6aedfd011a75c672a673d7872ace3570f78c37d44541c132cbf11d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcbd19b355511ce62bbf6d8cbaf866512114a90bee286914c4f96454e42a9418",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-13T08:20:10Z",
    "title_canon_sha256": "418c5259bd36c2296fa6fcd489265595974c418ae107dc63fec1cbad457ca6ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04827",
    "kind": "arxiv",
    "version": 1
  }
}