Pith Number

pith:DHVNROBT

pith:2018:DHVNROBTPTWXDE7SMBNMA24XZZ

not attested not anchored not stored refs pending

Expansions of the real field by discrete subgroups of Gl$_n(\mathbb{C})$

Erik Walsberg, Philipp Hieronymi, Samantha Xu

arxiv:1809.02273 v1 · 2018-09-07 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DHVNROBTPTWXDE7SMBNMA24XZZ}

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	2026-05-18T00:06:17.536757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19ead8b8337ced7193f2605ac06b97ce7cb61437be3c377bd44c1f683d903525

Aliases

arxiv: 1809.02273 · arxiv_version: 1809.02273v1 · doi: 10.48550/arxiv.1809.02273 · pith_short_12: DHVNROBTPTWX · pith_short_16: DHVNROBTPTWXDE7S · pith_short_8: DHVNROBT

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/DHVNROBTPTWXDE7SMBNMA24XZZ \
  | 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: 19ead8b8337ced7193f2605ac06b97ce7cb61437be3c377bd44c1f683d903525

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9977d93b79943e1cfebf07875b64c5022f5922f7e8317f8a2ee4288278e9fff0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-09-07T01:42:36Z",
    "title_canon_sha256": "30de1f2fd6a80ac0d98bf6795d1ca18b34faf3f0b075be7c842c92a43a8d99bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02273",
    "kind": "arxiv",
    "version": 1
  }
}