Pith Number

pith:YNUG7DAQ

pith:2013:YNUG7DAQKMQQ66JYQF45CSQGYH

not attested not anchored not stored refs pending

The existence of free non-cyclic subgroups in weakly locally finite division rings

Bui Xuan Hai, Nguyen Kim Ngoc

arxiv:1304.1856 v1 · 2013-04-06 · 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{YNUG7DAQKMQQ66JYQF45CSQGYH}

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	2026-05-18T03:28:44.958595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3686f8c1053210f79388179d14a06c1e8c9cd8066a8b6b2088ffe5f793bebd3

Aliases

arxiv: 1304.1856 · arxiv_version: 1304.1856v1 · doi: 10.48550/arxiv.1304.1856 · pith_short_12: YNUG7DAQKMQQ · pith_short_16: YNUG7DAQKMQQ66JY · pith_short_8: YNUG7DAQ

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/YNUG7DAQKMQQ66JYQF45CSQGYH \
  | 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: c3686f8c1053210f79388179d14a06c1e8c9cd8066a8b6b2088ffe5f793bebd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bfce16b9e7bae8b617eb50835b23b9030e0ad67d8f9bdb123b87deb16b3d398",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-04-06T05:02:10Z",
    "title_canon_sha256": "a592f489fafb0274dfb8ead046f8ea5f27387bbaaefc0c058d4c7b5ad4553669"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1856",
    "kind": "arxiv",
    "version": 1
  }
}