Pith Number

pith:P23KJZCR

pith:2019:P23KJZCRUK65ICMATMX7BGIHA6

not attested not anchored not stored refs pending

Tame Discrete Sets in Algebraic Groups

J\"org Winkelmann

arxiv:1901.08952 v1 · 2019-01-25 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P23KJZCRUK65ICMATMX7BGIHA6}

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	2026-05-17T23:55:31.085556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eb6a4e451a2bdd409809b2ff099070781e10eab00f52d514942b4ef292ac5ad

Aliases

arxiv: 1901.08952 · arxiv_version: 1901.08952v1 · doi: 10.48550/arxiv.1901.08952 · pith_short_12: P23KJZCRUK65 · pith_short_16: P23KJZCRUK65ICMA · pith_short_8: P23KJZCR

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/P23KJZCRUK65ICMATMX7BGIHA6 \
  | 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: 7eb6a4e451a2bdd409809b2ff099070781e10eab00f52d514942b4ef292ac5ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75a3ab968695b106e9a42692d624707435809f7ea9ed2c5f929ba0ab2aa9207f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-01-25T16:14:08Z",
    "title_canon_sha256": "0b9308cf4c54a17ba4ffcdc29aed0b08e604f9ca6411c0ca2396b55ecb26804c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.08952",
    "kind": "arxiv",
    "version": 1
  }
}