Pith Number

pith:S6RLQATW

pith:2020:S6RLQATWTKTTM2QKU67TOFNS5Z

not attested not anchored not stored refs pending

Counting multiplicative groups with prescribed subgroups

Greg Martin, Jenna Downey

arxiv:2007.09497 v1 · 2020-07-18 · 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{S6RLQATWTKTTM2QKU67TOFNS5Z}

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	2026-07-05T01:20:25.499205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97a2b802769aa7366a0aa7bf3715b2ee756a414dc552460a02d45df608375641

Aliases

arxiv: 2007.09497 · arxiv_version: 2007.09497v1 · doi: 10.48550/arxiv.2007.09497 · pith_short_12: S6RLQATWTKTT · pith_short_16: S6RLQATWTKTTM2QK · pith_short_8: S6RLQATW

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/S6RLQATWTKTTM2QKU67TOFNS5Z \
  | 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: 97a2b802769aa7366a0aa7bf3715b2ee756a414dc552460a02d45df608375641

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8746502550123e909fbb7a03603f119af2cd2fe7da5a766cf8679145d34ae2b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-07-18T19:10:55Z",
    "title_canon_sha256": "31da2a236f8f248e5623749b63c38aaabf9e46393b1ac30b9b106547176c3a08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.09497",
    "kind": "arxiv",
    "version": 1
  }
}