Pith Number

pith:ZFSU5HGH

pith:2011:ZFSU5HGHPZFC6D62UMYJWLAK43

not attested not anchored not stored refs pending

Oriented Involutions, Symmetric and Skew-Symmetric Elements in Group Rings

Cesar Polcino Milies, Edgar G. Goodaire

arxiv:1108.4648 v1 · 2011-08-23 · 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{ZFSU5HGHPZFC6D62UMYJWLAK43}

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	2026-05-18T04:14:54.023969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9654e9cc77e4a2f0fdaa3309b2c0ae6d965c37d111ef0c3763ee4d217d9503f

Aliases

arxiv: 1108.4648 · arxiv_version: 1108.4648v1 · doi: 10.48550/arxiv.1108.4648 · pith_short_12: ZFSU5HGHPZFC · pith_short_16: ZFSU5HGHPZFC6D62 · pith_short_8: ZFSU5HGH

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/ZFSU5HGHPZFC6D62UMYJWLAK43 \
  | 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: c9654e9cc77e4a2f0fdaa3309b2c0ae6d965c37d111ef0c3763ee4d217d9503f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e2fcd78882f3f948b3faee3103920b5f8144f5fd21b42016063e2820733dcf4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-08-23T16:23:22Z",
    "title_canon_sha256": "7b12b72bb446fb069aa00044c8cb57b41811e5fafc23412ca19c5e46f2d4e86b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4648",
    "kind": "arxiv",
    "version": 1
  }
}