Pith Number

pith:J4WRSKFB

pith:2016:J4WRSKFBYLLATKW7UXWZUA7GKL

not attested not anchored not stored refs pending

Permutations that Destroy Arithmetic Progressions in Elementary $p$-Groups

Ashvin Swaminathan, Noam D. Elkies

arxiv:1601.07541 v3 · 2016-01-27 · math.NT · math.CO · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4WRSKFBYLLATKW7UXWZUA7GKL}

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	2026-05-18T00:52:50.561072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f2d1928a1c2d609aadfa5ed9a03e652cc6a1e5fefc7c7a256dee24b3561b890

Aliases

arxiv: 1601.07541 · arxiv_version: 1601.07541v3 · doi: 10.48550/arxiv.1601.07541 · pith_short_12: J4WRSKFBYLLA · pith_short_16: J4WRSKFBYLLATKW7 · pith_short_8: J4WRSKFB

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/J4WRSKFBYLLATKW7UXWZUA7GKL \
  | 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: 4f2d1928a1c2d609aadfa5ed9a03e652cc6a1e5fefc7c7a256dee24b3561b890

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "961ef895f82314b7ae5a2cf181144876185d37c265597cfaf752dd8b56f3d852",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-27T20:47:56Z",
    "title_canon_sha256": "220ce44998d2a882d84c58bec88ec4cc0ebdb50ff85d9fc450b59797cb2b5a54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07541",
    "kind": "arxiv",
    "version": 3
  }
}