Pith Number

pith:QGQDTZY7

pith:2014:QGQDTZY7RJA2DS5J6CK3F67KKC

not attested not anchored not stored refs pending

Lozenge tilings of hexagons with arbitrary dents

Ilse Fischer, Mihai Ciucu

arxiv:1412.3945 v1 · 2014-12-12 · 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{QGQDTZY7RJA2DS5J6CK3F67KKC}

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	2026-05-18T02:31:28.235061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81a039e71f8a41a1cba9f095b2fbea50828b8bf2fd6fa0af097d33441f2d2496

Aliases

arxiv: 1412.3945 · arxiv_version: 1412.3945v1 · doi: 10.48550/arxiv.1412.3945 · pith_short_12: QGQDTZY7RJA2 · pith_short_16: QGQDTZY7RJA2DS5J · pith_short_8: QGQDTZY7

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/QGQDTZY7RJA2DS5J6CK3F67KKC \
  | 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: 81a039e71f8a41a1cba9f095b2fbea50828b8bf2fd6fa0af097d33441f2d2496

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67c53736ee501366f22cb941319fea597923d1f8da2caf81d08afd9c248ba87a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-12T10:44:12Z",
    "title_canon_sha256": "e0cc3280bce8ef8e7846ee1def57bbfbdbeee906bc6f8b6a273cb198e08e57ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3945",
    "kind": "arxiv",
    "version": 1
  }
}