Pith Number

pith:ZWFZAKRY

pith:2013:ZWFZAKRY5LFCRS42D627EJBGCT

not attested not anchored not stored refs pending

Universality in symbolic dynamics constrained by Medvedev degrees

Alexis Ballier

arxiv:1304.5418 v2 · 2013-04-19 · math.DS · cs.OH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWFZAKRY5LFCRS42D627EJBGCT}

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.

Cited by

1 paper in Pith

Medvedev degrees of subshifts on groups

Receipt and verification

First computed	2026-05-18T03:19:13.019568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd8b902a38eaca28cb9a1fb5f2242614f85141ed6fe106654116abd36cb832ea

Aliases

arxiv: 1304.5418 · arxiv_version: 1304.5418v2 · doi: 10.48550/arxiv.1304.5418 · pith_short_12: ZWFZAKRY5LFC · pith_short_16: ZWFZAKRY5LFCRS42 · pith_short_8: ZWFZAKRY

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/ZWFZAKRY5LFCRS42D627EJBGCT \
  | 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: cd8b902a38eaca28cb9a1fb5f2242614f85141ed6fe106654116abd36cb832ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d34969553c8b671054cc67a52936f75e17ad731fa75e25e3212d1e20c9667225",
    "cross_cats_sorted": [
      "cs.OH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-04-19T13:42:57Z",
    "title_canon_sha256": "c6423ff5d9f45b54d251b9e81f20c97282d0450743ff87c8dbeab1b241abcce4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5418",
    "kind": "arxiv",
    "version": 2
  }
}