Pith Number

pith:T6WEF62P

pith:2018:T6WEF62PGRFJ6C6YTRTRVB5AQ4

not attested not anchored not stored refs pending

Aperiodic points in $\mathbb Z^2$-subshifts

Anael Grandjean, Benjamin Hellouin de Menibus, Pascal Vanier

arxiv:1805.08829 v1 · 2018-05-22 · cs.DM · 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{T6WEF62PGRFJ6C6YTRTRVB5AQ4}

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	2026-05-18T00:15:09.322395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fac42fb4f344a9f0bd89c671a87a087362900ca3481d3c399fbd7d0f2c28f39

Aliases

arxiv: 1805.08829 · arxiv_version: 1805.08829v1 · doi: 10.48550/arxiv.1805.08829 · pith_short_12: T6WEF62PGRFJ · pith_short_16: T6WEF62PGRFJ6C6Y · pith_short_8: T6WEF62P

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/T6WEF62PGRFJ6C6YTRTRVB5AQ4 \
  | 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: 9fac42fb4f344a9f0bd89c671a87a087362900ca3481d3c399fbd7d0f2c28f39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "441b3379c34c94028f9ac996463561e40202b7084ca8d69ac7798118dc5ccac5",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-05-22T19:37:14Z",
    "title_canon_sha256": "ba3547841e13b08bb50b3b9b660561ecdc0f64c59448698c2328dc5b43520e79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08829",
    "kind": "arxiv",
    "version": 1
  }
}