Pith Number

pith:RWLKIGFX

pith:2014:RWLKIGFX2BYTPDBFPHJD3KIAQ2

not attested not anchored not stored refs pending

Computing the inverses, their power sums, and extrema for Euler's totient and other multiplicative functions

Max A. Alekseyev

arxiv:1401.6054 v3 · 2014-01-23 · cs.DM · cs.DS · 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{RWLKIGFX2BYTPDBFPHJD3KIAQ2}

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	2026-05-18T01:14:45.768328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d96a418b7d071378c2579d23da90086abbe84f7e4fcff875da436ded4fc60c1

Aliases

arxiv: 1401.6054 · arxiv_version: 1401.6054v3 · doi: 10.48550/arxiv.1401.6054 · pith_short_12: RWLKIGFX2BYT · pith_short_16: RWLKIGFX2BYTPDBF · pith_short_8: RWLKIGFX

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/RWLKIGFX2BYTPDBFPHJD3KIAQ2 \
  | 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: 8d96a418b7d071378c2579d23da90086abbe84f7e4fcff875da436ded4fc60c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "289cf62fcf1199f79aaa5c1310dc995b321ce5abaa6f35eb9512ac42da034229",
    "cross_cats_sorted": [
      "cs.DS",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2014-01-23T17:03:45Z",
    "title_canon_sha256": "f83c0562a9b1f27861b481d1bd88edf394724f447f79838b1e41c0e746263138"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6054",
    "kind": "arxiv",
    "version": 3
  }
}