Pith Number

pith:NDM4JEQW

pith:2026:NDM4JEQWO2XAKJQPMVYZK6SVNJ

not attested not anchored not stored refs pending

A comment on the number of $k$-th powers inside arithmetic progressions

Sa\v{s}a Novakovi\'c

arxiv:2607.15895 v1 · 2026-07-17 · 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{NDM4JEQWO2XAKJQPMVYZK6SVNJ}

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	2026-07-20T01:19:16.278705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68d9c4921676ae05260f6571957a556a6a684ae50d6dd81d86f3d6dc710b3cb3

Aliases

arxiv: 2607.15895 · arxiv_version: 2607.15895v1 · doi: 10.48550/arxiv.2607.15895 · pith_short_12: NDM4JEQWO2XA · pith_short_16: NDM4JEQWO2XAKJQP · pith_short_8: NDM4JEQW

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/NDM4JEQWO2XAKJQPMVYZK6SVNJ \
  | 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: 68d9c4921676ae05260f6571957a556a6a684ae50d6dd81d86f3d6dc710b3cb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1ab2ce730afb5632d153a7f3c850e17c9cd4de6ee2a398fa7be12f2531f9c9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-17T12:10:55Z",
    "title_canon_sha256": "854bb79ee71d2e23a53a822ca318d9f22ce4e93f9a618d47b3bfa532444207ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15895",
    "kind": "arxiv",
    "version": 1
  }
}