Pith Number

pith:BBVG7N5N

pith:2016:BBVG7N5NJDCLKTX4UGZG5KQHOK

not attested not anchored not stored refs pending

Enumeration of Hybrid Domino-Lozenge Tilings III: Centrally Symmetric Tilings

Tri Lai

arxiv:1609.03116 v4 · 2016-09-11 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BBVG7N5NJDCLKTX4UGZG5KQHOK}

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	2026-05-17T23:45:58.331230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

086a6fb7ad48c4b54efca1b26eaa07728a7d7ae7e1e9403d8ea30d9174d07e20

Aliases

arxiv: 1609.03116 · arxiv_version: 1609.03116v4 · doi: 10.48550/arxiv.1609.03116 · pith_short_12: BBVG7N5NJDCL · pith_short_16: BBVG7N5NJDCLKTX4 · pith_short_8: BBVG7N5N

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/BBVG7N5NJDCLKTX4UGZG5KQHOK \
  | 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: 086a6fb7ad48c4b54efca1b26eaa07728a7d7ae7e1e9403d8ea30d9174d07e20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bb61cac9ccb677036b8e95f99a113bab13997301e0056713efb652e3890c757",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-11T05:02:47Z",
    "title_canon_sha256": "e858ad747a59405c2f42dc255f6f780f10038abf8516f662f8ae68ec76f8d891"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03116",
    "kind": "arxiv",
    "version": 4
  }
}