Pith Number

pith:TVRKU77Z

pith:2010:TVRKU77ZFHGUWTYIGGTNDQ6FZR

not attested not anchored not stored refs pending

Presentations of Schutzenberger groups of minimal subshifts

Alfredo Costa, Jorge Almeida

arxiv:1001.1475 v3 · 2010-01-11 · 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{TVRKU77ZFHGUWTYIGGTNDQ6FZR}

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	2026-05-18T03:32:17.964524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d62aa7ff929cd4b4f0831a6d1c3c5cc6140db0bc7cffdd28a641bdabc520f38

Aliases

arxiv: 1001.1475 · arxiv_version: 1001.1475v3 · doi: 10.48550/arxiv.1001.1475 · pith_short_12: TVRKU77ZFHGU · pith_short_16: TVRKU77ZFHGUWTYI · pith_short_8: TVRKU77Z

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/TVRKU77ZFHGUWTYIGGTNDQ6FZR \
  | 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: 9d62aa7ff929cd4b4f0831a6d1c3c5cc6140db0bc7cffdd28a641bdabc520f38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db1bbd019d3c6b119fcba2bbcaabc2c9ee529e17f430177aa8eb23ec1c347c5d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-01-11T14:03:06Z",
    "title_canon_sha256": "d31c850a750835a02719ec5cd44e4f90e79ac11af1e0ad58cb1fa183d3c2570e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1475",
    "kind": "arxiv",
    "version": 3
  }
}