Pith Number

pith:ILW23RNJ

pith:2007:ILW23RNJOHU4TV34MYTEGL3MP3

not attested not anchored not stored refs pending

Representations of integers as sums of primes from a Beatty sequence

Ahmet M. Guloglu, C. Wesley Nevans, William D. Banks

arxiv:math/0701285 v1 · 2007-01-10 · 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{ILW23RNJOHU4TV34MYTEGL3MP3}

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	2026-05-18T01:38:23.385335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42edadc5a971e9c9d77c6626432f6c7efade09cfa76c0d07ad1b6a1f66cc07e8

Aliases

arxiv: math/0701285 · arxiv_version: math/0701285v1 · doi: 10.48550/arxiv.math/0701285 · pith_short_12: ILW23RNJOHU4 · pith_short_16: ILW23RNJOHU4TV34 · pith_short_8: ILW23RNJ

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/ILW23RNJOHU4TV34MYTEGL3MP3 \
  | 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: 42edadc5a971e9c9d77c6626432f6c7efade09cfa76c0d07ad1b6a1f66cc07e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9936ae21060cf6f37ea0a519bb3754e83bdbf76273dbc6b7f3d36c7e62ea208",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-01-10T13:33:59Z",
    "title_canon_sha256": "f75c568a1621bc790ae987f60add1738a7bbd3d0c281ad44132e253a29bc95c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701285",
    "kind": "arxiv",
    "version": 1
  }
}