Pith Number

pith:GBW72LIE

pith:2018:GBW72LIELAWUS47X4ZKLBGYB2D

not attested not anchored not stored refs pending

Countable dense homogeneity and $\lambda$-sets

Jan van Mill, Michael Hru\v{s}\'ak, Rodrigo Hern\'andez-Guti\'errez

arxiv:1809.06819 v1 · 2018-09-18 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GBW72LIELAWUS47X4ZKLBGYB2D}

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	2026-05-18T00:05:24.611179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

306dfd2d04582d4973f7e654b09b01d0e011ec87d8ce2fc40ad3f69b234d2311

Aliases

arxiv: 1809.06819 · arxiv_version: 1809.06819v1 · doi: 10.48550/arxiv.1809.06819 · pith_short_12: GBW72LIELAWU · pith_short_16: GBW72LIELAWUS47X · pith_short_8: GBW72LIE

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/GBW72LIELAWUS47X4ZKLBGYB2D \
  | 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: 306dfd2d04582d4973f7e654b09b01d0e011ec87d8ce2fc40ad3f69b234d2311

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "330f1b89f95da3c5160e5bf8c6845b74e91cd8607f0c91329f51590009317024",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2018-09-18T16:33:22Z",
    "title_canon_sha256": "049aec058920dadc0747827e58b07159c60721366a04ef404b76fa829e43345a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06819",
    "kind": "arxiv",
    "version": 1
  }
}