Pith Number

pith:KOZA3S33

pith:2015:KOZA3S33QW3JLM7Q5OD5S7ZB4G

not attested not anchored not stored refs pending

Aperiodic Subshifts on Polycyclic Groups

Emmanuel Jeandel (CARTE)

arxiv:1510.02360 v2 · 2015-10-08 · cs.DM · 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{KOZA3S33QW3JLM7Q5OD5S7ZB4G}

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	2026-05-18T01:08:28.978288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53b20dcb7b85b695b3f0eb87d97f21e1bcec1ec9bfc2bc5f892744ed970fe38d

Aliases

arxiv: 1510.02360 · arxiv_version: 1510.02360v2 · doi: 10.48550/arxiv.1510.02360 · pith_short_12: KOZA3S33QW3J · pith_short_16: KOZA3S33QW3JLM7Q · pith_short_8: KOZA3S33

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/KOZA3S33QW3JLM7Q5OD5S7ZB4G \
  | 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: 53b20dcb7b85b695b3f0eb87d97f21e1bcec1ec9bfc2bc5f892744ed970fe38d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b3b7c30500c366e905fd2792b7f12d57573b2065e7fdeb22823bde1ff4b4635",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-10-08T15:17:30Z",
    "title_canon_sha256": "aa34841f08df58ca043a4d6cc722ae02a0ed3cdc677bc02cca825575de914a32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02360",
    "kind": "arxiv",
    "version": 2
  }
}