Pith Number

pith:R74W4RYR

pith:2015:R74W4RYR4ZAPYLHOGMMZFMNLDS

not attested not anchored not stored refs pending

A geometric interpretation of the Sch\"utzenberger group of a minimal subshift

A. Costa, J. Almeida

arxiv:1507.06885 v1 · 2015-07-24 · 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{R74W4RYR4ZAPYLHOGMMZFMNLDS}

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	2026-05-18T00:57:04.902399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ff96e4711e640fc2cee331992b1ab1cb7d6c5541fe8cb0be835d45f904965e5

Aliases

arxiv: 1507.06885 · arxiv_version: 1507.06885v1 · doi: 10.48550/arxiv.1507.06885 · pith_short_12: R74W4RYR4ZAP · pith_short_16: R74W4RYR4ZAPYLHO · pith_short_8: R74W4RYR

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/R74W4RYR4ZAPYLHOGMMZFMNLDS \
  | 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: 8ff96e4711e640fc2cee331992b1ab1cb7d6c5541fe8cb0be835d45f904965e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75b2572307eee7eb8dc9e20818eec6aa42009320bad08941a9ca70639d304412",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-07-24T15:27:05Z",
    "title_canon_sha256": "18a2867e84d1fa0a6336d24e7f275c3c9d32b2c2a0b8eda2ca2f9ba79fb72248"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06885",
    "kind": "arxiv",
    "version": 1
  }
}