Pith Number

pith:H5VCK3ZW

pith:2016:H5VCK3ZWPJH4AN2YVMGLDP4JGC

not attested not anchored not stored refs pending

A congruence involving the quotients of Euler and its applications (III)

Hao Zhong, Shane Chern, Tianxin Cai

arxiv:1604.00445 v1 · 2016-04-02 · 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{H5VCK3ZWPJH4AN2YVMGLDP4JGC}

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	2026-05-18T01:17:49.591646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f6a256f367a4fc03758ab0cb1bf8930b7bad8940514a8109788257f132d9fee

Aliases

arxiv: 1604.00445 · arxiv_version: 1604.00445v1 · doi: 10.48550/arxiv.1604.00445 · pith_short_12: H5VCK3ZWPJH4 · pith_short_16: H5VCK3ZWPJH4AN2Y · pith_short_8: H5VCK3ZW

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/H5VCK3ZWPJH4AN2YVMGLDP4JGC \
  | 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: 3f6a256f367a4fc03758ab0cb1bf8930b7bad8940514a8109788257f132d9fee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e1798586b0f08cb3d2f3c7f12a6aeb4c580d1a4bec45ced8d1be99428c2fde0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-04-02T00:53:46Z",
    "title_canon_sha256": "e3c1327d7e0ac837f426dda9ea852b2baafcbb0c124bfd7dc89d21e1a186f2bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00445",
    "kind": "arxiv",
    "version": 1
  }
}