Pith Number

pith:T5HHMGFZ

pith:2021:T5HHMGFZ4TZ7DIQBNMDM32TPYQ

not attested not anchored not stored refs pending

Linear configurations containing 4-term arithmetic progressions are uncommon

Leo Versteegen

arxiv:2106.06846 v3 · 2021-06-12 · 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{T5HHMGFZ4TZ7DIQBNMDM32TPYQ}

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	2026-07-05T03:13:04.782250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f4e7618b9e4f3f1a2016b06cdea6fc41adddfe05616035ff9eda097b99a2db2

Aliases

arxiv: 2106.06846 · arxiv_version: 2106.06846v3 · doi: 10.48550/arxiv.2106.06846 · pith_short_12: T5HHMGFZ4TZ7 · pith_short_16: T5HHMGFZ4TZ7DIQB · pith_short_8: T5HHMGFZ

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/T5HHMGFZ4TZ7DIQBNMDM32TPYQ \
  | 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: 9f4e7618b9e4f3f1a2016b06cdea6fc41adddfe05616035ff9eda097b99a2db2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb0767d873c9a8c404771a705743aac537c435903ebf1bea69de3cc4dc071319",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-06-12T19:59:40Z",
    "title_canon_sha256": "329442234ef3690d7da98fca5389e600844d134cf98727fd635362fa8de20b49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.06846",
    "kind": "arxiv",
    "version": 3
  }
}