Pith Number

pith:KPSOJJKI

pith:2018:KPSOJJKIQFFZX3TCBDM7LPYUCP

not attested not anchored not stored refs pending

Avoiding 3-Term Geometric Progressions in Hurwitz Quaternions

Ajmain Yamin, Bruce Fang, Eva Fourakis, Gwyneth Moreland, Megumi Asada, Nathan McNew, Sarah Manski, Sindy Xin Zhang, Steven J. Miller

arxiv:1807.07605 v2 · 2018-07-19 · math.CO · 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{KPSOJJKIQFFZX3TCBDM7LPYUCP}

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	2026-07-05T07:35:33.109670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53e4e4a548814b9bee6208d9f5bf1413dfbeee1ddadef536602e9e0b13d5e013

Aliases

arxiv: 1807.07605 · arxiv_version: 1807.07605v2 · doi: 10.48550/arxiv.1807.07605 · pith_short_12: KPSOJJKIQFFZ · pith_short_16: KPSOJJKIQFFZX3TC · pith_short_8: KPSOJJKI

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/KPSOJJKIQFFZX3TCBDM7LPYUCP \
  | 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: 53e4e4a548814b9bee6208d9f5bf1413dfbeee1ddadef536602e9e0b13d5e013

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b0f703790e713a551439d5c1485e95cbd15d3c76e3495ecfd0b08d15aad2741",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-19T18:55:11Z",
    "title_canon_sha256": "145a26133489f290125a97455e161e2fc88bad0eb5cfccfa38169806d7c2b9ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07605",
    "kind": "arxiv",
    "version": 2
  }
}