Pith Number

pith:KVNEVON5

pith:2017:KVNEVON5PPQRCYGQUINJAQOFX3

not attested not anchored not stored refs pending

Combinatorics of the subshift associated to Grigorchuk's group

Daniel Lenz, Rostislav Grigorchuk, Tatiana Nagnibeda

arxiv:1711.10342 v1 · 2017-11-28 · 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{KVNEVON5PPQRCYGQUINJAQOFX3}

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	2026-05-18T00:29:22.468145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

555a4ab9bd7be11160d0a21a9041c5bef3331a1ef15158126c92962182f90aa8

Aliases

arxiv: 1711.10342 · arxiv_version: 1711.10342v1 · doi: 10.48550/arxiv.1711.10342 · pith_short_12: KVNEVON5PPQR · pith_short_16: KVNEVON5PPQRCYGQ · pith_short_8: KVNEVON5

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/KVNEVON5PPQRCYGQUINJAQOFX3 \
  | 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: 555a4ab9bd7be11160d0a21a9041c5bef3331a1ef15158126c92962182f90aa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c643611bd9887c81a1e1fe044605a13e32aed83c675b5079f616834657501990",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-11-28T15:27:38Z",
    "title_canon_sha256": "fe34ba1c6b60ca634d4a18ec7082d18d2486accdb1c49f1ed2e12844b88163e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10342",
    "kind": "arxiv",
    "version": 1
  }
}