Pith Number

pith:6THBLUE2

pith:2024:6THBLUE2WJNMRLSPBJNTP3JM4M

not attested not anchored not stored refs pending

The least primary factor of the multiplicative group

Chau Nguyen, Greg Martin

arxiv:2403.02548 v1 · 2024-03-04 · 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{6THBLUE2WJNMRLSPBJNTP3JM4M}

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	2026-07-05T07:52:18.967629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4ce15d09ab25ac8ae4f0a5b37ed2ce335dd11d5eae05e2009e48ffb5c8f65e9

Aliases

arxiv: 2403.02548 · arxiv_version: 2403.02548v1 · doi: 10.48550/arxiv.2403.02548 · pith_short_12: 6THBLUE2WJNM · pith_short_16: 6THBLUE2WJNMRLSP · pith_short_8: 6THBLUE2

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/6THBLUE2WJNMRLSPBJNTP3JM4M \
  | 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: f4ce15d09ab25ac8ae4f0a5b37ed2ce335dd11d5eae05e2009e48ffb5c8f65e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fadfe1d1f1d12f108296be8e5eee84202191581c26efa120f1871e27a3548ef",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-03-04T23:58:03Z",
    "title_canon_sha256": "0f9b9eb308bef06d8b18d54cfcfcf196c62b30f638673c7e67811965a318befe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.02548",
    "kind": "arxiv",
    "version": 1
  }
}