Pith Number

pith:LRJZF56I

pith:2017:LRJZF56IGBEJVG7LMVKJF6WKLY

not attested not anchored not stored refs pending

On some properties of representation functions related to the Erd\H{o}s-Tur\'an conjecture

Csaba S\'andor, Quan-Hui Yang

arxiv:1705.03316 v1 · 2017-05-09 · 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{LRJZF56IGBEJVG7LMVKJF6WKLY}

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	2026-05-18T00:44:48.304312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c5392f7c830489a9beb655492faca5e10b841c792676e6959469a402c916149

Aliases

arxiv: 1705.03316 · arxiv_version: 1705.03316v1 · doi: 10.48550/arxiv.1705.03316 · pith_short_12: LRJZF56IGBEJ · pith_short_16: LRJZF56IGBEJVG7L · pith_short_8: LRJZF56I

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/LRJZF56IGBEJVG7LMVKJF6WKLY \
  | 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: 5c5392f7c830489a9beb655492faca5e10b841c792676e6959469a402c916149

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4bc5c2e33efdce075d44a0039aae851857c5debe1585aa003641a32ebb1c93a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-05-09T13:27:24Z",
    "title_canon_sha256": "83a1c2cc28c5ca5225b250aaaa60115aeddd40da9c403f07b1962795dd250427"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.03316",
    "kind": "arxiv",
    "version": 1
  }
}