Pith Number

pith:CJIXQ2XU

pith:2019:CJIXQ2XUEGOKEOEXNJSEAZYTQL

not attested not anchored not stored refs pending

Simplicity of the automorphism groups of order and tournament expansions of homogeneous structures

Aleksandra Kwiatkowska, Filippo Calderoni, Katrin Tent

arxiv:1908.05249 v6 · 2019-08-14 · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CJIXQ2XUEGOKEOEXNJSEAZYTQL}

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	2026-07-05T02:30:40.638811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1251786af4219ca238976a6440671382cf02f8ef7959146a161628ca5cae51d2

Aliases

arxiv: 1908.05249 · arxiv_version: 1908.05249v6 · doi: 10.48550/arxiv.1908.05249 · pith_short_12: CJIXQ2XUEGOK · pith_short_16: CJIXQ2XUEGOKEOEX · pith_short_8: CJIXQ2XU

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/CJIXQ2XUEGOKEOEXNJSEAZYTQL \
  | 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: 1251786af4219ca238976a6440671382cf02f8ef7959146a161628ca5cae51d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e684c12a04c2d9fc02a1b5f5bc00a1c93f0b4023096d6ca6c6f140a1ad8ae2e",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-08-14T17:25:49Z",
    "title_canon_sha256": "70138bf0c069ede415c1d647a6488cf9941bc91d13cc633e6e23890bc11929b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05249",
    "kind": "arxiv",
    "version": 6
  }
}