Pith Number

pith:CCIRITU2

pith:2018:CCIRITU2YHCIYFRTD3PX75OAUW

not attested not anchored not stored refs pending

Weighted EGZ Constant for p-groups of rank 2

Ab\'ilio Lemos, Filipe Oliveira, Hemar Godinho

arxiv:1810.13021 v1 · 2018-10-30 · 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{CCIRITU2YHCIYFRTD3PX75OAUW}

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	2026-05-17T23:43:33.070484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1091144e9ac1c48c16331edf7ff5c0a5ba6bb53dd4a3fa03782c8168013c6de4

Aliases

arxiv: 1810.13021 · arxiv_version: 1810.13021v1 · doi: 10.48550/arxiv.1810.13021 · pith_short_12: CCIRITU2YHCI · pith_short_16: CCIRITU2YHCIYFRT · pith_short_8: CCIRITU2

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/CCIRITU2YHCIYFRTD3PX75OAUW \
  | 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: 1091144e9ac1c48c16331edf7ff5c0a5ba6bb53dd4a3fa03782c8168013c6de4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "903b2d8d8291d2cad027a393d888c1b1e807ecab1a84aa71dbe16d27bf191e4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-30T22:28:00Z",
    "title_canon_sha256": "34bcc3f2cf18a95387db6bcee533d829274771bd86abd0d6d3fa5d10045b4e04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.13021",
    "kind": "arxiv",
    "version": 1
  }
}