Pith Number

pith:UUYNDBN3

pith:2011:UUYNDBN3ROWZT2U7JINBBPGAGW

not attested not anchored not stored refs pending

On Algebraic Properties of Topological Full Groups

Konstantin Medynets, Rostislav Grigorchuk

arxiv:1105.0719 v4 · 2011-05-04 · 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{UUYNDBN3ROWZT2U7JINBBPGAGW}

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	2026-05-18T03:51:58.650850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a530d185bb8bad99ea9f4a1a10bcc035a60225b7ae38aea061bef0647df8d633

Aliases

arxiv: 1105.0719 · arxiv_version: 1105.0719v4 · doi: 10.48550/arxiv.1105.0719 · pith_short_12: UUYNDBN3ROWZ · pith_short_16: UUYNDBN3ROWZT2U7 · pith_short_8: UUYNDBN3

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/UUYNDBN3ROWZT2U7JINBBPGAGW \
  | 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: a530d185bb8bad99ea9f4a1a10bcc035a60225b7ae38aea061bef0647df8d633

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52621101b4ae6ee28ee39dcc4c52278e4cdcee79f70e8a6ba684f85508ba2c82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-05-04T01:54:49Z",
    "title_canon_sha256": "6a6fd98bd49a2811a78f20e941d23199910259856ebb5757f975add4c42cc92f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0719",
    "kind": "arxiv",
    "version": 4
  }
}