Pith Number

pith:TZOR5M4L

pith:2015:TZOR5M4LRDW3UCMQKFQ772OJV2

not attested not anchored not stored refs pending

Computable F{\o}lner monotilings and a theorem of Brudno I

Nikita Moriakov

arxiv:1509.07858 v3 · 2015-09-25 · 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{TZOR5M4LRDW3UCMQKFQ772OJV2}

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	2026-05-18T01:30:17.462217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e5d1eb38b88edba09905161ffe9c9ae8e1dfb598f75857d926c8d353f9cf44d

Aliases

arxiv: 1509.07858 · arxiv_version: 1509.07858v3 · doi: 10.48550/arxiv.1509.07858 · pith_short_12: TZOR5M4LRDW3 · pith_short_16: TZOR5M4LRDW3UCMQ · pith_short_8: TZOR5M4L

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/TZOR5M4LRDW3UCMQKFQ772OJV2 \
  | 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: 9e5d1eb38b88edba09905161ffe9c9ae8e1dfb598f75857d926c8d353f9cf44d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c8a6d5950419e1898e96f8b2b3e7882752640af09ec7a2c02268029dd17d1f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-09-25T19:53:03Z",
    "title_canon_sha256": "684959b6f730bb0bdb9cecf43b7f0cc50baa99fc8f8ddb26f5814e08a3a1d095"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07858",
    "kind": "arxiv",
    "version": 3
  }
}