Pith Number

pith:RNCRIZWB

pith:2014:RNCRIZWBPIEW334O557CTUOMBG

not attested not anchored not stored refs pending

The covering number of the difference sets in partitions of $G$-spaces and groups

Mikolaj Fraczyk, Taras Banakh

arxiv:1405.2151 v1 · 2014-05-09 · math.CO · 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{RNCRIZWBPIEW334O557CTUOMBG}

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	2026-05-18T01:20:26.559148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b451466c17a096def8eef7e29d1cc09ae03f7e962550cc0b8202602018207d9

Aliases

arxiv: 1405.2151 · arxiv_version: 1405.2151v1 · doi: 10.48550/arxiv.1405.2151 · pith_short_12: RNCRIZWBPIEW · pith_short_16: RNCRIZWBPIEW334O · pith_short_8: RNCRIZWB

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/RNCRIZWBPIEW334O557CTUOMBG \
  | 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: 8b451466c17a096def8eef7e29d1cc09ae03f7e962550cc0b8202602018207d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ab6844235c262dd8530f24846b5e4073a6600b9e0c58c23fe89a7f787997870",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-09T06:39:30Z",
    "title_canon_sha256": "f9b83f6491f5828bf3f0365e883ee4d0d507bf68021aedcbd53796569cb74913"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2151",
    "kind": "arxiv",
    "version": 1
  }
}