Pith Number

pith:EVAZ2UGO

pith:2013:EVAZ2UGODPJG47I4BSYSVIDVMB

not attested not anchored not stored refs pending

On weakly S-embedded subgroups and weakly $\tau$-embedded subgroups

Wenbin Guo, Xiaoyu Chen

arxiv:1301.6865 v1 · 2013-01-29 · 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{EVAZ2UGODPJG47I4BSYSVIDVMB}

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	2026-05-18T01:35:57.643585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25419d50ce1bd26e7d1c0cb12aa075605bf279d4a577bf0ea3bd7404c653efe6

Aliases

arxiv: 1301.6865 · arxiv_version: 1301.6865v1 · doi: 10.48550/arxiv.1301.6865 · pith_short_12: EVAZ2UGODPJG · pith_short_16: EVAZ2UGODPJG47I4 · pith_short_8: EVAZ2UGO

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/EVAZ2UGODPJG47I4BSYSVIDVMB \
  | 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: 25419d50ce1bd26e7d1c0cb12aa075605bf279d4a577bf0ea3bd7404c653efe6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68291d9f4da1800a0a478d816d43b38864c2f871c9d7c99d7f3c81ba8cc60426",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-01-29T08:39:50Z",
    "title_canon_sha256": "531a4f2ba830bd484bd2c6108d304a539d85b1d19eef3c728b0a19c85958b709"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6865",
    "kind": "arxiv",
    "version": 1
  }
}