Pith Number

pith:EJUHLZUZ

pith:2017:EJUHLZUZJ4MJK2EBVA2R252G62

not attested not anchored not stored refs pending

Extremal product-one free sequences in Dihedral and Dicyclic groups

Fabio Enrique Brochero Mart\'inez, S\'avio Ribas

arxiv:1701.08788 v1 · 2017-01-30 · 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{EJUHLZUZJ4MJK2EBVA2R252G62}

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	2026-05-18T00:51:39.181018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

226875e6994f18956881a8351d7746f6bc8789d751b7a8a4586ad212a1e73506

Aliases

arxiv: 1701.08788 · arxiv_version: 1701.08788v1 · doi: 10.48550/arxiv.1701.08788 · pith_short_12: EJUHLZUZJ4MJ · pith_short_16: EJUHLZUZJ4MJK2EB · pith_short_8: EJUHLZUZ

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/EJUHLZUZJ4MJK2EBVA2R252G62 \
  | 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: 226875e6994f18956881a8351d7746f6bc8789d751b7a8a4586ad212a1e73506

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7078cdfae90971d3ab9ebbe04d2425e948e1900bfdcd665a16ebbd80b4cf5cd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-01-30T19:21:47Z",
    "title_canon_sha256": "9a76d7715354799ab2e845a3f738197684607049282313e15f191c17e24527c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08788",
    "kind": "arxiv",
    "version": 1
  }
}