Pith Number

pith:YJBEEJNA

pith:2016:YJBEEJNAFH66VQYHWRAQLBDPBF

not attested not anchored not stored refs pending

Invariant subsets of the space of subgroups, equational compactness and the weak equivalence of actions

Gabor Elek, Konrad Krolicki

arxiv:1608.05332 v1 · 2016-08-18 · math.GR · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YJBEEJNAFH66VQYHWRAQLBDPBF}

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	2026-05-18T01:08:31.357339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2424225a029fdeac307b44105846f0968ffd98356a973915e1eb48311843b88

Aliases

arxiv: 1608.05332 · arxiv_version: 1608.05332v1 · doi: 10.48550/arxiv.1608.05332 · pith_short_12: YJBEEJNAFH66 · pith_short_16: YJBEEJNAFH66VQYH · pith_short_8: YJBEEJNA

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/YJBEEJNAFH66VQYHWRAQLBDPBF \
  | 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: c2424225a029fdeac307b44105846f0968ffd98356a973915e1eb48311843b88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d02c3fa97044431ed08dc37084c66a9ccd6ede155f0bcd8c91b4b511eadd6a54",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-08-18T16:59:35Z",
    "title_canon_sha256": "0a7d53c107a607ee41edad2ee84991fe58bf1112f5ea6875af4b83d7ff5cf783"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05332",
    "kind": "arxiv",
    "version": 1
  }
}