Pith Number

pith:BYUL3T53

pith:2010:BYUL3T53QWYQFCO7CTKEHCMAFD

not attested not anchored not stored refs pending

Elements with r-th roots in finite groups

Elaheh Khamseh (Islamic Azad University, Farshid Saeedi (Islamic Azad University, Francesco G. Russo (Universita' degli Studi di Palermo, Iran), Italy), Mashhad, Mohammed Reza R. Moghaddam (Ferdowsi University of Mashhad, Palermo

arxiv:1008.2055 v4 · 2010-08-12 · 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{BYUL3T53QWYQFCO7CTKEHCMAFD}

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	2026-05-18T03:53:17.777097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e28bdcfbb85b10289df14d443898028f66bbb235577884b44b89504244255ec

Aliases

arxiv: 1008.2055 · arxiv_version: 1008.2055v4 · doi: 10.48550/arxiv.1008.2055 · pith_short_12: BYUL3T53QWYQ · pith_short_16: BYUL3T53QWYQFCO7 · pith_short_8: BYUL3T53

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/BYUL3T53QWYQFCO7CTKEHCMAFD \
  | 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: 0e28bdcfbb85b10289df14d443898028f66bbb235577884b44b89504244255ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ca0f80dd1f6eb60ace4634829c8093ab7ef3380aff608db8aba06f9dc89a6ca",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-08-12T06:51:48Z",
    "title_canon_sha256": "7bed12decd13c54554bc0aa5241c313f3d49f6ff2e187d82e50ccdbfe7d2fd50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2055",
    "kind": "arxiv",
    "version": 4
  }
}