Pith Number

pith:XMGVK23X

pith:2017:XMGVK23XN4XVF4H35CO4XYCGOB

not attested not anchored not stored refs pending

A note on discrete lattice-periodic sets with an application to Archimedean tilings

Liping Yuan, Matthias Schymura

arxiv:1710.02552 v1 · 2017-10-06 · math.CO · 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{XMGVK23XN4XVF4H35CO4XYCGOB}

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	2026-05-18T00:33:29.490207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb0d556b776f2f52f0fbe89dcbe0467041f11947f0072de2ace25360105c2d42

Aliases

arxiv: 1710.02552 · arxiv_version: 1710.02552v1 · doi: 10.48550/arxiv.1710.02552 · pith_short_12: XMGVK23XN4XV · pith_short_16: XMGVK23XN4XVF4H3 · pith_short_8: XMGVK23X

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/XMGVK23XN4XVF4H35CO4XYCGOB \
  | 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: bb0d556b776f2f52f0fbe89dcbe0467041f11947f0072de2ace25360105c2d42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beffd0b3cd6a5181f67ce909cc88721224f156d84ab6684a25af26aac66ad1da",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-06T18:50:55Z",
    "title_canon_sha256": "81cce78e68ff0dd8d60296d288a4fb6d352b136cc7e21a47c3ba32b3ce2a6974"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02552",
    "kind": "arxiv",
    "version": 1
  }
}