Pith Number

pith:NKBVHMIH

pith:2018:NKBVHMIH3SERNSM3UH7T6SXLQZ

not attested not anchored not stored refs pending

A certain reciprocal power sum is never an integer

Junyong Zhao, Shaofang Hong, Xiao Jiang

arxiv:1812.08705 v1 · 2018-12-20 · 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{NKBVHMIH3SERNSM3UH7T6SXLQZ}

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	2026-05-17T23:57:49.347087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a8353b107dc8916c99ba1ff3f4aeb867350e51a1b27f7f007e391ef0e9276e2

Aliases

arxiv: 1812.08705 · arxiv_version: 1812.08705v1 · doi: 10.48550/arxiv.1812.08705 · pith_short_12: NKBVHMIH3SER · pith_short_16: NKBVHMIH3SERNSM3 · pith_short_8: NKBVHMIH

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/NKBVHMIH3SERNSM3UH7T6SXLQZ \
  | 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: 6a8353b107dc8916c99ba1ff3f4aeb867350e51a1b27f7f007e391ef0e9276e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd51bf073268536ed867a11df1804a9a0fdc71ac19b0d1d30a55a38802b249d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-20T17:11:47Z",
    "title_canon_sha256": "b5bd74c87b1ba9a60186be5f3d6f3d57484c89bcef5648c200faf2c5a6d00f77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08705",
    "kind": "arxiv",
    "version": 1
  }
}