Pith Number

pith:U3OKXQSU

pith:2018:U3OKXQSUE4WJAJ6RDTJ4VGM6QW

not attested not anchored not stored refs pending

Power values of sums of certain products of consecutive integers and related results

Maciej Ulas, Szabolcs Tengely

arxiv:1809.04304 v1 · 2018-09-12 · 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{U3OKXQSUE4WJAJ6RDTJ4VGM6QW}

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	2026-05-18T00:05:52.803616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6dcabc254272c9027d11cd3ca999e85b5df881abd45b2e54055a6406410d2a7

Aliases

arxiv: 1809.04304 · arxiv_version: 1809.04304v1 · doi: 10.48550/arxiv.1809.04304 · pith_short_12: U3OKXQSUE4WJ · pith_short_16: U3OKXQSUE4WJAJ6R · pith_short_8: U3OKXQSU

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/U3OKXQSUE4WJAJ6RDTJ4VGM6QW \
  | 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: a6dcabc254272c9027d11cd3ca999e85b5df881abd45b2e54055a6406410d2a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ab1997dc8e83f2d0348380d08f50a93cfa4b014136b9e9878cfe3c71711c277",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-12T08:24:01Z",
    "title_canon_sha256": "d879cd27e016b8f6094202d34e2c9a9afb8a5eb66fe273718bc8f9265d30fd3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04304",
    "kind": "arxiv",
    "version": 1
  }
}