Pith Number

pith:LXH5YQBM

pith:2025:LXH5YQBMATSBDD4FJNRJUW2MYT

not attested not anchored not stored refs pending

Computation of the Totient Summatory Function

Lucas Augustus Brown

arxiv:2506.07386 v1 · 2025-06-09 · 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{LXH5YQBMATSBDD4FJNRJUW2MYT}

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	2026-07-05T11:18:26.308206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dcfdc402c04e4118f854b629a5b4cc4d921f17b0b48cd81d57b6fe8884a54b2

Aliases

arxiv: 2506.07386 · arxiv_version: 2506.07386v1 · doi: 10.48550/arxiv.2506.07386 · pith_short_12: LXH5YQBMATSB · pith_short_16: LXH5YQBMATSBDD4F · pith_short_8: LXH5YQBM

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/LXH5YQBMATSBDD4FJNRJUW2MYT \
  | 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: 5dcfdc402c04e4118f854b629a5b4cc4d921f17b0b48cd81d57b6fe8884a54b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a843ddf187a1cac0fef2057e8e6c9c303db38bf7be28acd77fd8cc0a2f4a0352",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-09T03:15:42Z",
    "title_canon_sha256": "603b590ad5e2d363d77f6d888e7691af437efd1f7def1935f4b665685a3cb735"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07386",
    "kind": "arxiv",
    "version": 1
  }
}