Pith Number

pith:5FVAMWCG

pith:2024:5FVAMWCGL3UWXSRFBZCCTS4YVZ

not attested not anchored not stored refs pending

Character sum, reciprocity and Voronoi formula

Chung-Hang Kwan, Wing Hong Leung

arxiv:2410.11193 v2 · 2024-10-15 · 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{5FVAMWCGL3UWXSRFBZCCTS4YVZ}

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	2026-07-05T10:02:24.809350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e96a0658465ee96bca250e4429cb98ae56a9e7c67347f3c05841cce7e925178c

Aliases

arxiv: 2410.11193 · arxiv_version: 2410.11193v2 · doi: 10.48550/arxiv.2410.11193 · pith_short_12: 5FVAMWCGL3UW · pith_short_16: 5FVAMWCGL3UWXSRF · pith_short_8: 5FVAMWCG

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/5FVAMWCGL3UWXSRFBZCCTS4YVZ \
  | 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: e96a0658465ee96bca250e4429cb98ae56a9e7c67347f3c05841cce7e925178c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ef245613b4ff0965e18b4808a430b91744dbc430d0d5e9070bbd06cbf1fea74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-10-15T02:16:59Z",
    "title_canon_sha256": "446115d9bc21ba2a4b7268063808a25e79057224cbfc952a716bf0672eb467bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.11193",
    "kind": "arxiv",
    "version": 2
  }
}