Pith Number

pith:PRC3FYO4

pith:2019:PRC3FYO4JIKQX5EK4XLH7W4DO6

not attested not anchored not stored refs pending

Some Zero-Difference Functions Over $\mathbb{Z}_n$ Using Cyclotomies

Zongxiang Yi

arxiv:1908.09463 v1 · 2019-08-19 · 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{PRC3FYO4JIKQX5EK4XLH7W4DO6}

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	2026-07-04T23:59:40.335572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c45b2e1dc4a150bf48ae5d67fdb8377961ae3d3b5cc16eca06c3cb7ff16fcb5

Aliases

arxiv: 1908.09463 · arxiv_version: 1908.09463v1 · doi: 10.48550/arxiv.1908.09463 · pith_short_12: PRC3FYO4JIKQ · pith_short_16: PRC3FYO4JIKQX5EK · pith_short_8: PRC3FYO4

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/PRC3FYO4JIKQX5EK4XLH7W4DO6 \
  | 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: 7c45b2e1dc4a150bf48ae5d67fdb8377961ae3d3b5cc16eca06c3cb7ff16fcb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d628815c8e860b6e296b330e6a0b0ac0dfbd28728cfc94d4314edae3eae1f3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-19T06:27:28Z",
    "title_canon_sha256": "57b684891e296fea2e2ced8e7a2cd5676716b4442a7ae6427b2e6f52b3467f93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09463",
    "kind": "arxiv",
    "version": 1
  }
}