Pith Number

pith:I5QUNC4R

pith:2023:I5QUNC4RPQHOJEOQ5SWBT3HLOK

not attested not anchored not stored refs pending

Limit shapes from harmonicity: dominos and the five vertex model

Istv\'an Prause, Richard Kenyon

arxiv:2310.06429 v2 · 2023-10-10 · 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{I5QUNC4RPQHOJEOQ5SWBT3HLOK}

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	2026-07-05T07:23:30.149595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4761468b917c0ee491d0ecac19eceb7284204acb0eaafe5742c7c3c8aafaebb9

Aliases

arxiv: 2310.06429 · arxiv_version: 2310.06429v2 · doi: 10.48550/arxiv.2310.06429 · pith_short_12: I5QUNC4RPQHO · pith_short_16: I5QUNC4RPQHOJEOQ · pith_short_8: I5QUNC4R

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/I5QUNC4RPQHOJEOQ5SWBT3HLOK \
  | 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: 4761468b917c0ee491d0ecac19eceb7284204acb0eaafe5742c7c3c8aafaebb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89ef6319aca2ea4bf35aa0cab6e44fd439b0c48bf69ad787f9d83a8530b6130f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-10-10T08:53:59Z",
    "title_canon_sha256": "01bd2e5c0a994b71442bb1115e22a148d468bd49fdeea0db22b01c6a4b588007"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.06429",
    "kind": "arxiv",
    "version": 2
  }
}