Pith Number

pith:ZU2YOVNJ

pith:2005:ZU2YOVNJFR3JZ3KEGYARBT6XCG

not attested not anchored not stored refs pending

Generalizations of Agol's inequality and nonexistence of tight laminations

Thilo Kuessner

arxiv:math/0506528 v4 · 2005-06-26 · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZU2YOVNJFR3JZ3KEGYARBT6XCG}

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	2026-05-18T04:23:21.418058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd358755a92c769ced44360110cfd7119ffa9ed560213a044a5f2e70d566010e

Aliases

arxiv: math/0506528 · arxiv_version: math/0506528v4 · doi: 10.48550/arxiv.math/0506528 · pith_short_12: ZU2YOVNJFR3J · pith_short_16: ZU2YOVNJFR3JZ3KE · pith_short_8: ZU2YOVNJ

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/ZU2YOVNJFR3JZ3KEGYARBT6XCG \
  | 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: cd358755a92c769ced44360110cfd7119ffa9ed560213a044a5f2e70d566010e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc9f9a2c3a3f1bc06b3d22350e129f7fbedc09ebf410a9d92d80f7b1eaff2437",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2005-06-26T11:08:51Z",
    "title_canon_sha256": "095896f2e6a3a304d00a06607b3edd9bce9d9a33251d2caefa5746712c66d454"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506528",
    "kind": "arxiv",
    "version": 4
  }
}