Pith Number

pith:7I3XV7GD

pith:2015:7I3XV7GD2J6KAK2VT625P3MOQA

not attested not anchored not stored refs pending

$2^{\aleph_0}$ pairwise non-isomorphic maximal-closed subgroups of Sym$(\mathbb{N})$ via the classification of the reducts of the Henson digraphs

Lovkush Agarwal, Michael Kompatscher

arxiv:1509.07674 v1 · 2015-09-25 · math.LO · 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{7I3XV7GD2J6KAK2VT625P3MOQA}

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	2026-05-18T01:32:02.212776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa377afcc3d27ca02b559fb5d7ed8e800a7f6ff17edea33ba4795c558a71b074

Aliases

arxiv: 1509.07674 · arxiv_version: 1509.07674v1 · doi: 10.48550/arxiv.1509.07674 · pith_short_12: 7I3XV7GD2J6K · pith_short_16: 7I3XV7GD2J6KAK2V · pith_short_8: 7I3XV7GD

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/7I3XV7GD2J6KAK2VT625P3MOQA \
  | 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: fa377afcc3d27ca02b559fb5d7ed8e800a7f6ff17edea33ba4795c558a71b074

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6923239a2f665f91be02ac9b90e819c0977b269bdb4a565bf96af86a55b28935",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-09-25T11:02:44Z",
    "title_canon_sha256": "27a7ec9e1ac609065e2fe02804bbc56062b5f6680fb77ef3eec132ddbce78bb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07674",
    "kind": "arxiv",
    "version": 1
  }
}