Pith Number

pith:SAC7GGPI

pith:2017:SAC7GGPIRNT77LVQYDMO6ENTYV

not attested not anchored not stored refs pending

Almost subnormal subgroups in division rings with generalized algebraic rational identities

Bui Xuan Hai, Mai Hoang Bien, Truong Huu Dung

arxiv:1709.04774 v1 · 2017-09-13 · 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{SAC7GGPIRNT77LVQYDMO6ENTYV}

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	2026-05-18T00:35:10.191532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9005f319e88b67ffaeb0c0d8ef11b3c54ad4911d956188bac931bbfcb1952d15

Aliases

arxiv: 1709.04774 · arxiv_version: 1709.04774v1 · doi: 10.48550/arxiv.1709.04774 · pith_short_12: SAC7GGPIRNT7 · pith_short_16: SAC7GGPIRNT77LVQ · pith_short_8: SAC7GGPI

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/SAC7GGPIRNT77LVQYDMO6ENTYV \
  | 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: 9005f319e88b67ffaeb0c0d8ef11b3c54ad4911d956188bac931bbfcb1952d15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3de7c7f8f078bddce51359d4d7b4d75a436acae4050e4d3e2033d96d85f5b373",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-09-13T09:18:06Z",
    "title_canon_sha256": "263ea1712be4f1a1b7571fdd277590a714e22860e1fbc62608ee9d0bb4d66a17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04774",
    "kind": "arxiv",
    "version": 1
  }
}