Pith Number

pith:B3MCRPRD

pith:2015:B3MCRPRDNXGDWTCRYGJZZ2BIGR

not attested not anchored not stored refs pending

Geometric Progression-Free Sequences with Small Gaps II

Xiaoyu He

arxiv:1503.06906 v1 · 2015-03-24 · 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{B3MCRPRDNXGDWTCRYGJZZ2BIGR}

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	2026-05-18T02:20:29.814528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ed828be236dcc3b4c51c1939ce82834615862696dfc74d7c048f49da3db6df4

Aliases

arxiv: 1503.06906 · arxiv_version: 1503.06906v1 · doi: 10.48550/arxiv.1503.06906 · pith_short_12: B3MCRPRDNXGD · pith_short_16: B3MCRPRDNXGDWTCR · pith_short_8: B3MCRPRD

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/B3MCRPRDNXGDWTCRYGJZZ2BIGR \
  | 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: 0ed828be236dcc3b4c51c1939ce82834615862696dfc74d7c048f49da3db6df4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff2677691b8d8666c46365dd5a1753ea5a0e0cc85ef3b533365d60eaffaa83b7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-24T03:58:21Z",
    "title_canon_sha256": "a7f70155e51d1e7fe1d7f266fb3a19753d2d720660a5913c7c53085e8a688db3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06906",
    "kind": "arxiv",
    "version": 1
  }
}