Pith Number

pith:ESGDUQS3

pith:2021:ESGDUQS3JXFRVATGRDY4IBIBHE

not attested not anchored not stored refs pending

A Periodicity Result for Tilings of $\mathbb Z^3$ by Clusters of Prime-Squared Cardinality

Abhishek Khetan

arxiv:2109.14179 v3 · 2021-09-29 · math.CO · 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{ESGDUQS3JXFRVATGRDY4IBIBHE}

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	2026-06-19T16:10:52.652619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

248c3a425b4dcb1a826688f1c405013925390ab107f4c015bfb732813dfe0db5

Aliases

arxiv: 2109.14179 · arxiv_version: 2109.14179v3 · doi: 10.48550/arxiv.2109.14179 · pith_short_12: ESGDUQS3JXFR · pith_short_16: ESGDUQS3JXFRVATG · pith_short_8: ESGDUQS3

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/ESGDUQS3JXFRVATGRDY4IBIBHE \
  | 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: 248c3a425b4dcb1a826688f1c405013925390ab107f4c015bfb732813dfe0db5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dbc36a10aa09a7a79fc88c8b0dc84db34b100f921446674995b3b0c0c04c74c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-09-29T03:49:37Z",
    "title_canon_sha256": "7d8d5378ed00462b572ebd0fff6f5cb09e863486bf7894b36601a427df01a759"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.14179",
    "kind": "arxiv",
    "version": 3
  }
}