Pith Number

pith:2MEQUPNR

pith:2025:2MEQUPNR62YX4DVHREGDBTNJ2F

not attested not anchored not stored refs pending

Perfect t-embeddings of doubly periodic Aztec diamonds

Marianna Russkikh, Matthew Nicoletti, Tomas Berggren

arxiv:2508.04938 v2 · 2025-08-06 · math.PR · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MEQUPNR62YX4DVHREGDBTNJ2F}

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	2026-07-05T12:00:07.530080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3090a3db1f6b17e0ea7890c30cda9d16cdef1fdc5044bb75f3598479f12c849

Aliases

arxiv: 2508.04938 · arxiv_version: 2508.04938v2 · doi: 10.48550/arxiv.2508.04938 · pith_short_12: 2MEQUPNR62YX · pith_short_16: 2MEQUPNR62YX4DVH · pith_short_8: 2MEQUPNR

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/2MEQUPNR62YX4DVHREGDBTNJ2F \
  | 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: d3090a3db1f6b17e0ea7890c30cda9d16cdef1fdc5044bb75f3598479f12c849

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99a1db4aa80a81bc2bed0d611d2f30d6575c401fbbbda9ca279a62ae3bb99a34",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-08-06T23:39:49Z",
    "title_canon_sha256": "94be5cc52fab4550eb734c2bc679db688c53e104286146ad1e598178817c2a04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.04938",
    "kind": "arxiv",
    "version": 2
  }
}