Pith Number

pith:6N2MIDU5

pith:2018:6N2MIDU5EMWS3RF76BSEX222RO

not attested not anchored not stored refs pending

On a sum involving the Euler function

Hao Pan, Igor E. Shparlinski, Lixia Dai, Olivier Bordell\`es, Randell Heyman

arxiv:1808.00188 v3 · 2018-08-01 · math.NT

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

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	2026-05-18T00:03:15.568709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f374c40e9d232d2dc4bff0644beb5a8baba3e5f6c85f548caac5cea0ebda9d9c

Aliases

arxiv: 1808.00188 · arxiv_version: 1808.00188v3 · doi: 10.48550/arxiv.1808.00188 · pith_short_12: 6N2MIDU5EMWS · pith_short_16: 6N2MIDU5EMWS3RF7 · pith_short_8: 6N2MIDU5

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/6N2MIDU5EMWS3RF76BSEX222RO \
  | 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: f374c40e9d232d2dc4bff0644beb5a8baba3e5f6c85f548caac5cea0ebda9d9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4191cf74560c6a58cf13b181c3b92e8162f69bb745b9c3aca7c384c2adecfce1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-08-01T06:42:52Z",
    "title_canon_sha256": "eca19bba466552d177930a4d97a722ea45c405c8c9b0e70c01f88395bb19f234"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00188",
    "kind": "arxiv",
    "version": 3
  }
}