Pith Number

pith:JY62K5YX

pith:2024:JY62K5YXDMDK7QF3RU4YS666FY

not attested not anchored not stored refs pending

On the long-range order of the Spectre tilings

Franz G\"ahler, Jan Maz\'a\v{c}, Lorenzo Sadun, Michael Baake

arxiv:2411.15503 v1 · 2024-11-23 · math.DS · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JY62K5YXDMDK7QF3RU4YS666FY}

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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.

Cited by

1 paper in Pith

Quasilattices of the Spectre monotile

Receipt and verification

First computed	2026-07-05T09:39:36.052639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e3da577171b06afc0bb8d39897bde2e020eca0686c821845e77f1fcc41558c8

Aliases

arxiv: 2411.15503 · arxiv_version: 2411.15503v1 · doi: 10.48550/arxiv.2411.15503 · pith_short_12: JY62K5YXDMDK · pith_short_16: JY62K5YXDMDK7QF3 · pith_short_8: JY62K5YX

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/JY62K5YXDMDK7QF3RU4YS666FY \
  | 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: 4e3da577171b06afc0bb8d39897bde2e020eca0686c821845e77f1fcc41558c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18aca562317c56c6e1579a5f29c0018b22e672e75bdbce058f525a9f7211de0a",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-11-23T09:46:22Z",
    "title_canon_sha256": "2ab18622f91d939fe11c5fbd70c5b90c15666827be76aa7c6df3d01c106da9ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15503",
    "kind": "arxiv",
    "version": 1
  }
}