Pith Number

pith:KGQEFWOT

pith:2021:KGQEFWOTCEW4AP5PH22UGT2SA7

not attested not anchored not stored refs pending

Closed subsets in Bishop topological groups

Iosif Petrakis

arxiv:2103.04718 v1 · 2021-03-08 · 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{KGQEFWOTCEW4AP5PH22UGT2SA7}

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	2026-07-05T02:21:08.771424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51a042d9d3112dc03faf3eb5434f5207c67cab9b5ef6e4f01f7f4de07065d310

Aliases

arxiv: 2103.04718 · arxiv_version: 2103.04718v1 · doi: 10.48550/arxiv.2103.04718 · pith_short_12: KGQEFWOTCEW4 · pith_short_16: KGQEFWOTCEW4AP5P · pith_short_8: KGQEFWOT

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/KGQEFWOTCEW4AP5PH22UGT2SA7 \
  | 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: 51a042d9d3112dc03faf3eb5434f5207c67cab9b5ef6e4f01f7f4de07065d310

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01dbc7be155e78c8f768203766bb18ca7629749e1e7630e60088dd85c6637dee",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2021-03-08T12:53:08Z",
    "title_canon_sha256": "337a93d4cc7ea19f186711af1a24c3457ad37ac3d1e099622b93dccac6ea95ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.04718",
    "kind": "arxiv",
    "version": 1
  }
}