Pith Number

pith:BIBJVUKB

pith:2018:BIBJVUKBOGAA5XDMHJMPDS2E2D

not attested not anchored not stored refs pending

The Herzog-Sch\"onheim Conjecture for small groups and harmonic subgroups

Leo Margolis, Ofir Schnabel

arxiv:1803.03569 v1 · 2018-03-09 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BIBJVUKBOGAA5XDMHJMPDS2E2D}

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	2026-05-18T00:21:39.112242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a029ad14171800edc6c3a58f1cb44d0f8f91996fa43fc1f8da35a71ba29137f

Aliases

arxiv: 1803.03569 · arxiv_version: 1803.03569v1 · doi: 10.48550/arxiv.1803.03569 · pith_short_12: BIBJVUKBOGAA · pith_short_16: BIBJVUKBOGAA5XDM · pith_short_8: BIBJVUKB

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/BIBJVUKBOGAA5XDMHJMPDS2E2D \
  | 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: 0a029ad14171800edc6c3a58f1cb44d0f8f91996fa43fc1f8da35a71ba29137f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b23e4f5f5abfc2ac2dfcce26eafc98853c0919afcd00cf4b92d920a6497e261",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-03-09T15:39:43Z",
    "title_canon_sha256": "6477b1ef46b36aaef944ef100874256a1586d29c369b2439e3a745ca47f05626"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03569",
    "kind": "arxiv",
    "version": 1
  }
}