Pith Number

pith:4EX27ZUJ

pith:2023:4EX27ZUJ5O34AE72UFQSII4B6S

not attested not anchored not stored refs pending

Perfect t-embeddings of uniformly weighted Aztec diamonds and tower graphs

Marianna Russkikh, Matthew Nicoletti, Tomas Berggren

arxiv:2303.10045 v2 · 2023-03-17 · math-ph · math.CO · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4EX27ZUJ5O34AE72UFQSII4B6S}

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

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions

Receipt and verification

First computed	2026-07-05T07:19:18.909449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e12fafe689ebb7c013faa161242381f4aeea733da3f91938339b95c1d5ffebf6

Aliases

arxiv: 2303.10045 · arxiv_version: 2303.10045v2 · doi: 10.48550/arxiv.2303.10045 · pith_short_12: 4EX27ZUJ5O34 · pith_short_16: 4EX27ZUJ5O34AE72 · pith_short_8: 4EX27ZUJ

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/4EX27ZUJ5O34AE72UFQSII4B6S \
  | 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: e12fafe689ebb7c013faa161242381f4aeea733da3f91938339b95c1d5ffebf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a3aa2373f91819b448acf89cd1ffb4418171790ddb75cc33e99021ea379aeef",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2023-03-17T15:16:24Z",
    "title_canon_sha256": "2db01173222395d1fd7475d1a71189d2575becb57278193036d3c72e7fe5e836"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.10045",
    "kind": "arxiv",
    "version": 2
  }
}