Pith Number

pith:YKZQ77CK

pith:2022:YKZQ77CKE6C7CSN36BS5JPTCII

not attested not anchored not stored refs pending

Some congruences from the Karlsson-Minton summation formula

Chen Wang, Junhang Li, Yezhenyang Tang

arxiv:2208.06650 v2 · 2022-08-13 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YKZQ77CKE6C7CSN36BS5JPTCII}

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	2026-07-05T05:59:20.923623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2b30ffc4a2785f149bbf065d4be62420987e7205824e24015795098f1847923

Aliases

arxiv: 2208.06650 · arxiv_version: 2208.06650v2 · doi: 10.48550/arxiv.2208.06650 · pith_short_12: YKZQ77CKE6C7 · pith_short_16: YKZQ77CKE6C7CSN3 · pith_short_8: YKZQ77CK

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/YKZQ77CKE6C7CSN36BS5JPTCII \
  | 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: c2b30ffc4a2785f149bbf065d4be62420987e7205824e24015795098f1847923

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55030c7c43172f1f3c114e522778ef2d491d9f2cdad40c8c8422d599838d30cc",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-08-13T13:38:54Z",
    "title_canon_sha256": "13cd72b6a01d19083383fc9c8010330b178ba87c6b9e4f4621609271382129f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.06650",
    "kind": "arxiv",
    "version": 2
  }
}