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Pith Number

pith:7HPBVMNL

pith:2014:7HPBVMNLFSFSQKA6OGTOQG5SAX
not attested not anchored not stored refs pending

Finite morphic $p$-groups

A. Caranti, C. M. Scoppola

arxiv:1411.0985 v2 · 2014-11-04 · math.GR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7HPBVMNLFSFSQKA6OGTOQG5SAX}

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 2026-05-18T02:29:46.920711Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f9de1ab1ab2c8b28281e71a6e81bb205e0eaaacddfa45045e3e0e4a93c376d6e

Aliases

arxiv: 1411.0985 · arxiv_version: 1411.0985v2 · doi: 10.48550/arxiv.1411.0985 · pith_short_12: 7HPBVMNLFSFS · pith_short_16: 7HPBVMNLFSFSQKA6 · pith_short_8: 7HPBVMNL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7HPBVMNLFSFSQKA6OGTOQG5SAX \
  | 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: f9de1ab1ab2c8b28281e71a6e81bb205e0eaaacddfa45045e3e0e4a93c376d6e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c76ba902fd89ea31429beec9b37123b720ad3eba2788726432e901260acf3121",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-11-04T18:00:51Z",
    "title_canon_sha256": "2603d6158946d68c0353ff868d022daad50d25118a0c650278a121add6ee2bd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0985",
    "kind": "arxiv",
    "version": 2
  }
}