Pith Number

pith:SPN2ASOS

pith:2018:SPN2ASOSVUQIBIAL7L4GDOTZXS

not attested not anchored not stored refs pending

A generalization of Menon's identity with Dirichlet characters

Daeyeoul Kim, Xiaoyu Hu, Yan Li

arxiv:1802.00531 v1 · 2018-02-02 · 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{SPN2ASOSVUQIBIAL7L4GDOTZXS}

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	2026-05-18T00:24:32.945870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93dba049d2ad2080a00bfaf861ba79bc8b7b316c533b0fbacf9ca32071efd760

Aliases

arxiv: 1802.00531 · arxiv_version: 1802.00531v1 · doi: 10.48550/arxiv.1802.00531 · pith_short_12: SPN2ASOSVUQI · pith_short_16: SPN2ASOSVUQIBIAL · pith_short_8: SPN2ASOS

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/SPN2ASOSVUQIBIAL7L4GDOTZXS \
  | 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: 93dba049d2ad2080a00bfaf861ba79bc8b7b316c533b0fbacf9ca32071efd760

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f042ac5061a6c0194855fe8eaf7d29830202ecc22422374125354a1a2c04bf33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-02-02T01:43:57Z",
    "title_canon_sha256": "d433ae25ab479e47a98af1e39f9fc313c677babfa60468c8b909f514a3379d5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.00531",
    "kind": "arxiv",
    "version": 1
  }
}