Pith Number

pith:NDR37TRG

pith:2006:NDR37TRGUGZVNWU3ZPQ5742Q6M

not attested not anchored not stored refs pending

Tessellation and Lyubich-Minsky laminations associated with quadratic maps II: Topological structures of 3-laminations

Tomoki Kawahira

arxiv:math/0609836 v2 · 2006-09-29 · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NDR37TRGUGZVNWU3ZPQ5742Q6M}

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	2026-05-18T03:01:56.844085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68e3bfce26a1b356da9bcbe1dff350f30825d6194dad9ebda3537962ec54edff

Aliases

arxiv: math/0609836 · arxiv_version: math/0609836v2 · doi: 10.48550/arxiv.math/0609836 · pith_short_12: NDR37TRGUGZV · pith_short_16: NDR37TRGUGZVNWU3 · pith_short_8: NDR37TRG

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/NDR37TRGUGZVNWU3ZPQ5742Q6M \
  | 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: 68e3bfce26a1b356da9bcbe1dff350f30825d6194dad9ebda3537962ec54edff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1677358dd05576bccb29e950b5f3a8dba4011b37d7d48dfb9fc93d54bad658bb",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2006-09-29T07:49:35Z",
    "title_canon_sha256": "20b48a283f07c0cd7d7322050fff6f170afc393c8c50bdf52893c91932889148"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609836",
    "kind": "arxiv",
    "version": 2
  }
}