Pith Number

pith:7X4HJIYE

pith:2015:7X4HJIYEJLHZM25EBMNB6RR4ZM

not attested not anchored not stored refs pending

On a Conjecture on the Representation of Positive Integers as the Sum of Three Terms of the Sequence $\left\lfloor \frac{n^2}{a} \right\rfloor$

Frederik Ravn Klausen, Peter Michael Reichstein Rasmussen, Sebastian Tim Holdum

arxiv:1507.00369 v1 · 2015-06-18 · 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{7X4HJIYEJLHZM25EBMNB6RR4ZM}

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	2026-05-18T01:37:26.787997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdf874a3044acf966ba40b1a1f463ccb03e46ac2b5d5c470768aa6b5c783a5c2

Aliases

arxiv: 1507.00369 · arxiv_version: 1507.00369v1 · doi: 10.48550/arxiv.1507.00369 · pith_short_12: 7X4HJIYEJLHZ · pith_short_16: 7X4HJIYEJLHZM25E · pith_short_8: 7X4HJIYE

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/7X4HJIYEJLHZM25EBMNB6RR4ZM \
  | 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: fdf874a3044acf966ba40b1a1f463ccb03e46ac2b5d5c470768aa6b5c783a5c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56e093eba35f06d00702905d9cbe95dbe7de9ed28a0a027adf28a0788b714538",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-18T08:33:53Z",
    "title_canon_sha256": "30a9bf3bf20691600db12636c6e01b4aef8f4b35c53bdced4b3fd8d396c5dedd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00369",
    "kind": "arxiv",
    "version": 1
  }
}