Pith Number

pith:BDNT7UE6

pith:2012:BDNT7UE6DYX2NAQKC4IV7K5XBP

not attested not anchored not stored refs pending

Topological full groups of one-sided shifts of finite type

Hiroki Matui

arxiv:1210.5800 v3 · 2012-10-22 · math.DS · 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{BDNT7UE6DYX2NAQKC4IV7K5XBP}

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	2026-05-18T03:26:22.892971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08db3fd09e1e2fa6820a17115fabb70bc886b96f72e99c4d920eb45596d1180b

Aliases

arxiv: 1210.5800 · arxiv_version: 1210.5800v3 · doi: 10.48550/arxiv.1210.5800 · pith_short_12: BDNT7UE6DYX2 · pith_short_16: BDNT7UE6DYX2NAQK · pith_short_8: BDNT7UE6

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/BDNT7UE6DYX2NAQKC4IV7K5XBP \
  | 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: 08db3fd09e1e2fa6820a17115fabb70bc886b96f72e99c4d920eb45596d1180b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfdb2a096873196f50afffd82503fe939970a9d677bb38004552f635837c9e12",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-10-22T04:15:11Z",
    "title_canon_sha256": "d2261051de00c9d1f6181753cf80e4602973f65d30ef6939e12ba62a6146eb14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5800",
    "kind": "arxiv",
    "version": 3
  }
}