Pith Number

pith:YXKSN534

pith:2018:YXKSN53462IR6MH4DZTWKNV6HQ

not attested not anchored not stored refs pending

Monochromatic solutions to $x+y=z^2$ in the interval $[N,cN^4]$

P\'eter P\'al Pach

arxiv:1805.06279 v1 · 2018-05-16 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXKSN53462IR6MH4DZTWKNV6HQ}

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	2026-05-18T00:04:48.999485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5d526f77cf6911f30fc1e676536be3c130e56ad300ad08c90a0d16fdd195db5

Aliases

arxiv: 1805.06279 · arxiv_version: 1805.06279v1 · doi: 10.48550/arxiv.1805.06279 · pith_short_12: YXKSN53462IR · pith_short_16: YXKSN53462IR6MH4 · pith_short_8: YXKSN534

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/YXKSN53462IR6MH4DZTWKNV6HQ \
  | 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: c5d526f77cf6911f30fc1e676536be3c130e56ad300ad08c90a0d16fdd195db5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91477df8f78d58e105ce6193b6dd581fbc8d445633ed11184f787d1ffd78e0ad",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-16T12:52:14Z",
    "title_canon_sha256": "e2189561be22c8a9613072be78fca05e226d352655be5df8422f9c8750807018"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06279",
    "kind": "arxiv",
    "version": 1
  }
}