Pith Number

pith:DS5ZSQVA

pith:2016:DS5ZSQVA3NW45JL67JC6NNCOCG

not attested not anchored not stored refs pending

Beyond primitivity for one-dimensional substitution subshifts and tiling spaces

Dan Rust, Gregory R. Maloney

arxiv:1604.01246 v2 · 2016-04-05 · math.DS · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DS5ZSQVA3NW45JL67JC6NNCOCG}

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	2026-05-18T00:40:13.957920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cbb9942a0db6dcea57efa45e6b44e118328fb0b013f1f4f87c1b3f820f16d14

Aliases

arxiv: 1604.01246 · arxiv_version: 1604.01246v2 · doi: 10.48550/arxiv.1604.01246 · pith_short_12: DS5ZSQVA3NW4 · pith_short_16: DS5ZSQVA3NW45JL6 · pith_short_8: DS5ZSQVA

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/DS5ZSQVA3NW45JL67JC6NNCOCG \
  | 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: 1cbb9942a0db6dcea57efa45e6b44e118328fb0b013f1f4f87c1b3f820f16d14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35380a489687edd14dcb9a1827d89c55fa0c3bbbe0fe08287903c86f62d6be93",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-04-05T13:12:40Z",
    "title_canon_sha256": "a5645ea8208396441d20f54efc98a37fa90f3aa4be4b39cb710219f1007c2205"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01246",
    "kind": "arxiv",
    "version": 2
  }
}