Pith Number

pith:E2JLY7KN

pith:2015:E2JLY7KNGRQIFSU3SYARXGVBKE

not attested not anchored not stored refs pending

A $q$-enumeration of lozenge tilings of a hexagon with four adjacent triangles removed from the boundary

Tri Lai

arxiv:1502.01679 v5 · 2015-02-05 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E2JLY7KNGRQIFSU3SYARXGVBKE}

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	2026-05-18T00:46:43.332372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2692bc7d4d346082ca9b96011b9aa1513b78e3df3fa1495dc20cc12afd6be756

Aliases

arxiv: 1502.01679 · arxiv_version: 1502.01679v5 · doi: 10.48550/arxiv.1502.01679 · pith_short_12: E2JLY7KNGRQI · pith_short_16: E2JLY7KNGRQIFSU3 · pith_short_8: E2JLY7KN

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/E2JLY7KNGRQIFSU3SYARXGVBKE \
  | 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: 2692bc7d4d346082ca9b96011b9aa1513b78e3df3fa1495dc20cc12afd6be756

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf14d89137303480c2c2d42ea4b89244a0309d3253d9dfc77f7791cd92fd35f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-05T19:05:20Z",
    "title_canon_sha256": "3b0cb72ef26fc9fa2d03cf63367f28e11eef80c24ed1b99ade2230a4c8fac3d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01679",
    "kind": "arxiv",
    "version": 5
  }
}