Pith Number

pith:RM6UN2HB

pith:2018:RM6UN2HBZEXBKZTHGBBAP5ITTG

not attested not anchored not stored refs pending

You can hear the shape of a billiard table: Symbolic dynamics and rigidity for flat surfaces

Chandrika Sadanand, Christopher J. Leininger, Moon Duchin, Viveka Erlandsson

arxiv:1804.05690 v4 · 2018-04-16 · math.GT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RM6UN2HBZEXBKZTHGBBAP5ITTG}

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	2026-07-05T00:12:22.998960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b3d46e8e1c92e156667304207f5139985fc911255d8d153bffad0f2f6e5c1b0

Aliases

arxiv: 1804.05690 · arxiv_version: 1804.05690v4 · doi: 10.48550/arxiv.1804.05690 · pith_short_12: RM6UN2HBZEXB · pith_short_16: RM6UN2HBZEXBKZTH · pith_short_8: RM6UN2HB

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/RM6UN2HBZEXBKZTHGBBAP5ITTG \
  | 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: 8b3d46e8e1c92e156667304207f5139985fc911255d8d153bffad0f2f6e5c1b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a06c786c77ad2719c651840a87eb36d4fc742aac24d284e0471aad50fadba2d9",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-04-16T14:05:35Z",
    "title_canon_sha256": "f338685176dc5250fc6501bc7d2c9179a75f413409c9e641d4c13753e6b7c677"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05690",
    "kind": "arxiv",
    "version": 4
  }
}