Pith Number

pith:BCRLLK6P

pith:2012:BCRLLK6P5TI3SZHFWACLB3YZYW

not attested not anchored not stored refs pending

Necessary and sufficient conditions for a dynamical system to be topologically conjugate to a given substitution minimal system

Andrew Dykstra, Ethan M. Coven, Michael Keane, Michelle LeMasurier

arxiv:1209.2073 v2 · 2012-09-10 · 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{BCRLLK6P5TI3SZHFWACLB3YZYW}

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	2026-05-18T03:20:35.521436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08a2b5abcfecd1b964e5b004b0ef19c5b9993250f7ba3fddb74e9b2e05d2c9d6

Aliases

arxiv: 1209.2073 · arxiv_version: 1209.2073v2 · doi: 10.48550/arxiv.1209.2073 · pith_short_12: BCRLLK6P5TI3 · pith_short_16: BCRLLK6P5TI3SZHF · pith_short_8: BCRLLK6P

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/BCRLLK6P5TI3SZHFWACLB3YZYW \
  | 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: 08a2b5abcfecd1b964e5b004b0ef19c5b9993250f7ba3fddb74e9b2e05d2c9d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b7023ac358da12ba64bfce15dcc91cee0f24c8869d514b879972e6ae3916cd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-09-10T17:43:30Z",
    "title_canon_sha256": "ce9d6dba4c0d1b098a965435f7c68f3a5fe5852c8483e046136acee2d741f26d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2073",
    "kind": "arxiv",
    "version": 2
  }
}