Pith Number

pith:WQR6FI56

pith:2016:WQR6FI56XB73Z72Z62TQCLKVSM

not attested not anchored not stored refs pending

The Lagrange spectrum of some square-tiled surfaces

Corinna Ulcigrai, Luca Marchese, Pascal Hubert, Samuel Leli\`evre

arxiv:1602.02126 v1 · 2016-02-05 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WQR6FI56XB73Z72Z62TQCLKVSM}

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	2026-05-18T01:21:14.468225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b423e2a3beb87fbcff59f6a7012d55931f48a3c036c252af69e10047e3aaba7d

Aliases

arxiv: 1602.02126 · arxiv_version: 1602.02126v1 · doi: 10.48550/arxiv.1602.02126 · pith_short_12: WQR6FI56XB73 · pith_short_16: WQR6FI56XB73Z72Z · pith_short_8: WQR6FI56

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/WQR6FI56XB73Z72Z62TQCLKVSM \
  | 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: b423e2a3beb87fbcff59f6a7012d55931f48a3c036c252af69e10047e3aaba7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0da2348bd18dce36924199d3049932ecea31791ba2909c6089940729ee18159",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-02-05T19:25:07Z",
    "title_canon_sha256": "0389ba8114b7002d3d95e144fd32e5438002a141c805ee116c872cbe8b39b962"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02126",
    "kind": "arxiv",
    "version": 1
  }
}