Pith Number

pith:RSOV3UGK

pith:2019:RSOV3UGKUWJRNN63JYFFZNV3BD

not attested not anchored not stored refs pending

Number of non-primes in the set of units modulo $n$

Abhijit A J, A. Satyanarayana Reddy

arxiv:1907.09908 v1 · 2019-07-07 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RSOV3UGKUWJRNN63JYFFZNV3BD}

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	2026-05-17T23:39:49.738170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c9d5dd0caa59316b7db4e0a5cb6bb08db9336665003e5491253abb905db87aa

Aliases

arxiv: 1907.09908 · arxiv_version: 1907.09908v1 · doi: 10.48550/arxiv.1907.09908 · pith_short_12: RSOV3UGKUWJR · pith_short_16: RSOV3UGKUWJRNN63 · pith_short_8: RSOV3UGK

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/RSOV3UGKUWJRNN63JYFFZNV3BD \
  | 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: 8c9d5dd0caa59316b7db4e0a5cb6bb08db9336665003e5491253abb905db87aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c90912019dd666056980076df6f995be7e4307b4cc79bd75d9d769243469362",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2019-07-07T15:38:33Z",
    "title_canon_sha256": "e0a0b772a1d2c126a926c136ea4cd5da294bb061ab2db161cd5ffec9dad69da3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09908",
    "kind": "arxiv",
    "version": 1
  }
}