Pith Number

pith:H5NEDCHF

pith:2018:H5NEDCHFZ5A3DS5A57PYE3Q5BQ

not attested not anchored not stored refs pending

On a partial sum related to the Euler totient function

Ankush Goswami

arxiv:1812.07556 v1 · 2018-12-18 · 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{H5NEDCHFZ5A3DS5A57PYE3Q5BQ}

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	2026-05-17T23:58:00.166509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f5a4188e5cf41b1cba0efdf826e1d0c32da5e634786db4f17189aabb8c6bb42

Aliases

arxiv: 1812.07556 · arxiv_version: 1812.07556v1 · doi: 10.48550/arxiv.1812.07556 · pith_short_12: H5NEDCHFZ5A3 · pith_short_16: H5NEDCHFZ5A3DS5A · pith_short_8: H5NEDCHF

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/H5NEDCHFZ5A3DS5A57PYE3Q5BQ \
  | 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: 3f5a4188e5cf41b1cba0efdf826e1d0c32da5e634786db4f17189aabb8c6bb42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57cb194751044920a04b1175299de42288567f45771e92771d9c7071e73332a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-18T18:40:44Z",
    "title_canon_sha256": "708a0e4168fbd1d648a47a0eca670b72b98af6e6e5db88ede40951a9ad57d5cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07556",
    "kind": "arxiv",
    "version": 1
  }
}