Pith Number

pith:454Z4M6R

pith:2019:454Z4M6R7XG4NFXGXMBVACRP3K

not attested not anchored not stored refs pending

A shuffling theorem for lozenge tilings of doubly-dented hexagons

Ranjan Rohatgi, Tri Lai

arxiv:1905.08311 v2 · 2019-05-20 · 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{454Z4M6R7XG4NFXGXMBVACRP3K}

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	2026-05-17T23:41:53.019847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7799e33d1fdcdc696e6bb03500a2fda9b3909f53e8d8376907b094b7c8a31ee

Aliases

arxiv: 1905.08311 · arxiv_version: 1905.08311v2 · doi: 10.48550/arxiv.1905.08311 · pith_short_12: 454Z4M6R7XG4 · pith_short_16: 454Z4M6R7XG4NFXG · pith_short_8: 454Z4M6R

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/454Z4M6R7XG4NFXGXMBVACRP3K \
  | 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: e7799e33d1fdcdc696e6bb03500a2fda9b3909f53e8d8376907b094b7c8a31ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fa62d2ba006c11408757f1459c7c8f9f3e509b36e79fb9d60f0fe8637cd79d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-20T19:38:47Z",
    "title_canon_sha256": "ac7000b0007bcb904c7b30ceaca6c446b35614e9c24f138a9cf145cb1e9c6749"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.08311",
    "kind": "arxiv",
    "version": 2
  }
}