Pith Number

pith:7UMMA3JB

pith:2022:7UMMA3JBMMILLAIINEXT32MTB3

not attested not anchored not stored refs pending

The Distribution of $k$-Free Effective Divisors and the Summatory Totient Function in Function Fields

Hamilton Wan, Hannah Lang, Nancy Xu, Sanjana Das

arxiv:2207.00047 v3 · 2022-06-30 · 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{7UMMA3JBMMILLAIINEXT32MTB3}

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	2026-07-05T06:34:45.244949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd18c06d216310b58108692f3de9930effb86f1c2488319bfdaef6064c27a57e

Aliases

arxiv: 2207.00047 · arxiv_version: 2207.00047v3 · doi: 10.48550/arxiv.2207.00047 · pith_short_12: 7UMMA3JBMMIL · pith_short_16: 7UMMA3JBMMILLAII · pith_short_8: 7UMMA3JB

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/7UMMA3JBMMILLAIINEXT32MTB3 \
  | 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: fd18c06d216310b58108692f3de9930effb86f1c2488319bfdaef6064c27a57e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "911744d06927fe20e97b4cf0eaf5772fcb9d993176049c5d188175ea226ca45e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-06-30T18:26:08Z",
    "title_canon_sha256": "3ee80b0ac330123ad62ea021bc343eee83ab57d5379a914f09511c788353d47e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.00047",
    "kind": "arxiv",
    "version": 3
  }
}