Pith Number

pith:HCTI7EVJ

pith:2016:HCTI7EVJ7BHDJCCCPIILJSW5N5

not attested not anchored not stored refs pending

On two questions by Finch and Jones about perfect order subset groups

Bret J. Benesh

arxiv:1605.05994 v1 · 2016-05-18 · 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{HCTI7EVJ7BHDJCCCPIILJSW5N5}

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	2026-05-18T01:14:26.778231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38a68f92a9f84e3488427a10b4cadd6f782fb999cb633559cb134d2d8656d5d4

Aliases

arxiv: 1605.05994 · arxiv_version: 1605.05994v1 · doi: 10.48550/arxiv.1605.05994 · pith_short_12: HCTI7EVJ7BHD · pith_short_16: HCTI7EVJ7BHDJCCC · pith_short_8: HCTI7EVJ

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/HCTI7EVJ7BHDJCCCPIILJSW5N5 \
  | 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: 38a68f92a9f84e3488427a10b4cadd6f782fb999cb633559cb134d2d8656d5d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5952d2510e190fa4ca6195b5e8764c11cacde491c38a1b6f6bf189e128d3ec7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-05-18T17:02:36Z",
    "title_canon_sha256": "f3798b4ec7d6b07983c99c9d42f2bdd760c8dc5875b35f403e808ea7e6f0d105"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05994",
    "kind": "arxiv",
    "version": 1
  }
}