Pith Number

pith:22MHLGPV

pith:2013:22MHLGPV7MWRZIMMSWLSTCUSF7

not attested not anchored not stored refs pending

Stable actions of central extensions and relative property (T)

Yoshikata Kida

arxiv:1309.3739 v2 · 2013-09-15 · math.GR · math.DS · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22MHLGPV7MWRZIMMSWLSTCUSF7}

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	2026-05-18T00:44:10.326507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6987599f5fb2d1ca18c9597298a922fefea4af6aecdd02a06078b687896ecbf

Aliases

arxiv: 1309.3739 · arxiv_version: 1309.3739v2 · doi: 10.48550/arxiv.1309.3739 · pith_short_12: 22MHLGPV7MWR · pith_short_16: 22MHLGPV7MWRZIMM · pith_short_8: 22MHLGPV

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/22MHLGPV7MWRZIMMSWLSTCUSF7 \
  | 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: d6987599f5fb2d1ca18c9597298a922fefea4af6aecdd02a06078b687896ecbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddc35857fc73da242f81236e47b47baa75a7d623a045c2d3e6a632e388c1af6b",
    "cross_cats_sorted": [
      "math.DS",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-09-15T08:54:24Z",
    "title_canon_sha256": "9da7d2f4cdabd85916c14de07050e4912bd8f5f4429f2d9b97ee6fe6b92cd2f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3739",
    "kind": "arxiv",
    "version": 2
  }
}