Pith Number

pith:PVEUUDYV

pith:2022:PVEUUDYVANL4BN6HW62SVLJ4YQ

not attested not anchored not stored refs pending

Variance of the k-fold divisor function in arithmetic progressions for individual modulus

David T. Nguyen

arxiv:2205.02354 v2 · 2022-05-04 · 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{PVEUUDYVANL4BN6HW62SVLJ4YQ}

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	2026-07-05T05:45:17.192620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d494a0f150357c0b7c7b7b52aad3cc4356cf4d954358f2ef310eaad7514d631

Aliases

arxiv: 2205.02354 · arxiv_version: 2205.02354v2 · doi: 10.48550/arxiv.2205.02354 · pith_short_12: PVEUUDYVANL4 · pith_short_16: PVEUUDYVANL4BN6H · pith_short_8: PVEUUDYV

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/PVEUUDYVANL4BN6HW62SVLJ4YQ \
  | 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: 7d494a0f150357c0b7c7b7b52aad3cc4356cf4d954358f2ef310eaad7514d631

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "953275243949352f1821424dac54a04e6a911e4c679a0bbf309c8bba2fb60a42",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-05-04T23:20:05Z",
    "title_canon_sha256": "74162cd15f04fa8c14886a52657e7926f6bb301f6cd83f6d8ed418063d10d775"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.02354",
    "kind": "arxiv",
    "version": 2
  }
}