Pith Number

pith:7GLP4BME

pith:2018:7GLP4BMEADZGCTOKM4M4O235DX

not attested not anchored not stored refs pending

Geometric progressions in syndetic sets

Bhuwanesh Rao Patil

arxiv:1808.09230 v3 · 2018-08-28 · 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{7GLP4BMEADZGCTOKM4M4O235DX}

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	2026-05-17T23:47:39.834662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f996fe058400f2614dca6719c76b7d1dc587fed541dfb455379c37abe92fda6d

Aliases

arxiv: 1808.09230 · arxiv_version: 1808.09230v3 · doi: 10.48550/arxiv.1808.09230 · pith_short_12: 7GLP4BMEADZG · pith_short_16: 7GLP4BMEADZGCTOK · pith_short_8: 7GLP4BME

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/7GLP4BMEADZGCTOKM4M4O235DX \
  | 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: f996fe058400f2614dca6719c76b7d1dc587fed541dfb455379c37abe92fda6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dc29a9c5350796e2d69621ae3fa9bdd888bdee9d4d69fe96f690eab0d4a89a6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-08-28T11:38:12Z",
    "title_canon_sha256": "00ae6e1cb69218c1931e324f315e8389ff07bdd51709b645556cfa6ec7ae010d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09230",
    "kind": "arxiv",
    "version": 3
  }
}