Pith Number

pith:KDX7MTFC

pith:2024:KDX7MTFCM3MFRIV72KHX6V7RZN

not attested not anchored not stored refs pending

Perfect t-embeddings and Lozenge Tilings

Marianna Russkikh, Matthew Nicoletti, Tomas Berggren

arxiv:2408.05441 v1 · 2024-08-10 · math.PR · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KDX7MTFCM3MFRIV72KHX6V7RZN}

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.

Cited by

1 paper in Pith

Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond

Receipt and verification

First computed	2026-07-05T08:54:20.322087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50eff64ca266d858a2bfd28f7f57f1cb75cacc0c25f92cdd1d201b52ca2b5233

Aliases

arxiv: 2408.05441 · arxiv_version: 2408.05441v1 · doi: 10.48550/arxiv.2408.05441 · pith_short_12: KDX7MTFCM3MF · pith_short_16: KDX7MTFCM3MFRIV7 · pith_short_8: KDX7MTFC

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/KDX7MTFCM3MFRIV72KHX6V7RZN \
  | 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: 50eff64ca266d858a2bfd28f7f57f1cb75cacc0c25f92cdd1d201b52ca2b5233

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0795d435d5086f22e19729aab9fe06f025d6cae1d0ee264dc31039d2b5e6abc6",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-08-10T05:01:46Z",
    "title_canon_sha256": "431aa51ef557bffd714ab91e710bfcc10836e1842dfd7c04fef21037840eed83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.05441",
    "kind": "arxiv",
    "version": 1
  }
}