Pith Number

pith:J4VXL26F

pith:2023:J4VXL26FN6RKDWTUPWQOMYNHDA

not attested not anchored not stored refs pending

Semigroup of transformations with restricted partial range: Regularity, abundance and some combinatorial results

Jiulin Jin, Taijie You

arxiv:2306.00822 v1 · 2023-06-01 · 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{J4VXL26FN6RKDWTUPWQOMYNHDA}

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	2026-07-05T06:16:32.242797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f2b75ebc56fa2a1da747da0e661a7182e12dfdd404e5af6d1897ba63d546f8c

Aliases

arxiv: 2306.00822 · arxiv_version: 2306.00822v1 · doi: 10.48550/arxiv.2306.00822 · pith_short_12: J4VXL26FN6RK · pith_short_16: J4VXL26FN6RKDWTU · pith_short_8: J4VXL26F

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/J4VXL26FN6RKDWTUPWQOMYNHDA \
  | 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: 4f2b75ebc56fa2a1da747da0e661a7182e12dfdd404e5af6d1897ba63d546f8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e40bb614478374059be4ee0f32c911d146e74367acceba193dc0486c22f123e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2023-06-01T15:43:48Z",
    "title_canon_sha256": "77e4819a12fe5c254bb202a57d41dc298b9fbd4c68b14468a8ae1e0147a876f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.00822",
    "kind": "arxiv",
    "version": 1
  }
}