Pith Number

pith:J3G3RRPA

pith:2019:J3G3RRPABRK22K5ED775DH26TE

not attested not anchored not stored refs pending

Characterising bimodal collections of sets in finite groups

Maura B. Paterson, Sophie Huczynska

arxiv:1903.11620 v1 · 2019-03-27 · 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{J3G3RRPABRK22K5ED775DH26TE}

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	2026-05-17T23:50:02.193019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ecdb8c5e00c55ad2ba41fffd19f5e993a76d5ff9917ac64b2bdc5fd0f94f01e

Aliases

arxiv: 1903.11620 · arxiv_version: 1903.11620v1 · doi: 10.48550/arxiv.1903.11620 · pith_short_12: J3G3RRPABRK2 · pith_short_16: J3G3RRPABRK22K5E · pith_short_8: J3G3RRPA

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/J3G3RRPABRK22K5ED775DH26TE \
  | 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: 4ecdb8c5e00c55ad2ba41fffd19f5e993a76d5ff9917ac64b2bdc5fd0f94f01e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d2d4f926ed63aa9374188482182e967d9006a7cc4be07564d6167328403c240",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-27T18:01:34Z",
    "title_canon_sha256": "3ef5ebd94e7ff6fd2c9f160e971e3fd7804d1ad672398c15667ab5aec27cff6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.11620",
    "kind": "arxiv",
    "version": 1
  }
}