Pith Number

pith:FT3EE3FS

pith:2025:FT3EE3FS4EEDPQ6KZSPMYAXQNC

not attested not anchored not stored refs pending

The $q^{\mathrm{Volume}}$ lozenge tiling model via non-Hermitian orthogonal polynomials

Ahmad Barhoumi, Maurice Duits

arxiv:2504.17042 v1 · 2025-04-23 · math-ph · math.CV · 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{FT3EE3FS4EEDPQ6KZSPMYAXQNC}

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	2026-07-05T10:53:21.120304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cf6426cb2e10837c3cacc9ecc02f0689bbecd7c669e711630717701e39bf2ba

Aliases

arxiv: 2504.17042 · arxiv_version: 2504.17042v1 · doi: 10.48550/arxiv.2504.17042 · pith_short_12: FT3EE3FS4EED · pith_short_16: FT3EE3FS4EEDPQ6K · pith_short_8: FT3EE3FS

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/FT3EE3FS4EEDPQ6KZSPMYAXQNC \
  | 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: 2cf6426cb2e10837c3cacc9ecc02f0689bbecd7c669e711630717701e39bf2ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "793f5e95cee1f1dce139c3439e72cf36a285d6ba548470801ac261635e4a9673",
    "cross_cats_sorted": [
      "math.CV",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-04-23T18:40:49Z",
    "title_canon_sha256": "8e3d77aeb090201ee10197a981b16594447ce5cca8398f11b488d85dc60d5301"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.17042",
    "kind": "arxiv",
    "version": 1
  }
}