Pith Number

pith:DM5R7NMH

pith:2019:DM5R7NMH53NJQW6N7QEBEG5G5E

not attested not anchored not stored refs pending

Neretin groups admit no non-trivial invariant random subgroups

Tianyi Zheng

arxiv:1905.07605 v1 · 2019-05-18 · 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{DM5R7NMH53NJQW6N7QEBEG5G5E}

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	2026-05-17T23:45:49.128782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b3b1fb587eeda985bcdfc08121ba6e938165121a7529d81c39f9d7416004c83

Aliases

arxiv: 1905.07605 · arxiv_version: 1905.07605v1 · doi: 10.48550/arxiv.1905.07605 · pith_short_12: DM5R7NMH53NJ · pith_short_16: DM5R7NMH53NJQW6N · pith_short_8: DM5R7NMH

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/DM5R7NMH53NJQW6N7QEBEG5G5E \
  | 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: 1b3b1fb587eeda985bcdfc08121ba6e938165121a7529d81c39f9d7416004c83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "070fa0f48fee901881afc36010b1499f61849201c6f18a96183b8db74c4567ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-05-18T15:26:16Z",
    "title_canon_sha256": "7d0fad5a353a049e072e43dc665cce06fa2fe8856136da8fb783719cea1f941c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.07605",
    "kind": "arxiv",
    "version": 1
  }
}