Pith Number

pith:PNDH5U73

pith:2016:PNDH5U73XGV2EFER346HFPWPRH

not attested not anchored not stored refs pending

Periodicity and decidability of tilings of $\mathbb{Z}^{2}$

Siddhartha Bhattacharya

arxiv:1602.05738 v1 · 2016-02-18 · 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{PNDH5U73XGV2EFER346HFPWPRH}

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	2026-05-18T01:20:23.345033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b467ed3fbb9aba21491df3c72becf89e203e294d795d0f94ffbc4b61ede33a2

Aliases

arxiv: 1602.05738 · arxiv_version: 1602.05738v1 · doi: 10.48550/arxiv.1602.05738 · pith_short_12: PNDH5U73XGV2 · pith_short_16: PNDH5U73XGV2EFER · pith_short_8: PNDH5U73

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/PNDH5U73XGV2EFER346HFPWPRH \
  | 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: 7b467ed3fbb9aba21491df3c72becf89e203e294d795d0f94ffbc4b61ede33a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca6e223233b7d627b46592afacf6c333f80ad6bb5b519ddeabe3eba80db0611e",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-18T10:07:55Z",
    "title_canon_sha256": "5c6df351990ae3e3f490a6fb6d078a8ea51f8386e7142be6ad8106b37a64129e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05738",
    "kind": "arxiv",
    "version": 1
  }
}