Pith Number

pith:XAQIT3F3

pith:2013:XAQIT3F3V2E743WLOZH3DKXILA

not attested not anchored not stored refs pending

Group rings with Lie metabelian set of symmetric elements

\'Angel del R\'io, Manuel Ruiz, Osnel Broche

arxiv:1310.8100 v1 · 2013-10-30 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XAQIT3F3V2E743WLOZH3DKXILA}

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	2026-05-18T03:08:26.031524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b82089ecbbae89fe6ecb764fb1aae85804f39da6f92b05b141684c6b4b7449f4

Aliases

arxiv: 1310.8100 · arxiv_version: 1310.8100v1 · doi: 10.48550/arxiv.1310.8100 · pith_short_12: XAQIT3F3V2E7 · pith_short_16: XAQIT3F3V2E743WL · pith_short_8: XAQIT3F3

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/XAQIT3F3V2E743WLOZH3DKXILA \
  | 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: b82089ecbbae89fe6ecb764fb1aae85804f39da6f92b05b141684c6b4b7449f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d82fe5eff1f7d4c6a2ae6d6f91b4ca46a452c264da4099a6ecabd7233f2b3dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-10-30T10:57:20Z",
    "title_canon_sha256": "8828489014ce482eb06e6992e26790117f25dedf80ad9abfacc4496c9a45c278"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8100",
    "kind": "arxiv",
    "version": 1
  }
}