Pith Number

pith:5THR4JQI

pith:2018:5THR4JQICMFDLMJJYFOACINZ5K

not attested not anchored not stored refs pending

On free subgroups in division rings

Jairo Goncalves, Jason P. Bell

arxiv:1812.01698 v1 · 2018-12-04 · 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{5THR4JQICMFDLMJJYFOACINZ5K}

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	2026-05-17T23:59:00.871490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eccf1e2608130a35b129c15c0121b9eab474ac91bef45a088299700f31d2e60f

Aliases

arxiv: 1812.01698 · arxiv_version: 1812.01698v1 · doi: 10.48550/arxiv.1812.01698 · pith_short_12: 5THR4JQICMFD · pith_short_16: 5THR4JQICMFDLMJJ · pith_short_8: 5THR4JQI

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/5THR4JQICMFDLMJJYFOACINZ5K \
  | 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: eccf1e2608130a35b129c15c0121b9eab474ac91bef45a088299700f31d2e60f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7758b7234a1d074b25daa9778ae7fbaa1e76a934a3c0c9dc6a3f201131143537",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-12-04T21:27:41Z",
    "title_canon_sha256": "5586e67ececd859de1b6da354718859cc2d478f5f533c4337dfcc87296026f49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01698",
    "kind": "arxiv",
    "version": 1
  }
}