Pith Number

pith:L4H3QCLL

pith:2010:L4H3QCLLRX4DLPI7IXG6MO3IMB

not attested not anchored not stored refs pending

Tight contact structures on laminar free hyperbolic three-manifolds

Tolga Etg\"u

arxiv:1004.2247 v1 · 2010-04-13 · 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{L4H3QCLLRX4DLPI7IXG6MO3IMB}

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	2026-05-18T02:19:42.896699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f0fb8096b8df835bd1f45cde63b68604e11e3af6bd51b5d36276a3a4c968a9f

Aliases

arxiv: 1004.2247 · arxiv_version: 1004.2247v1 · doi: 10.48550/arxiv.1004.2247 · pith_short_12: L4H3QCLLRX4D · pith_short_16: L4H3QCLLRX4DLPI7 · pith_short_8: L4H3QCLL

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/L4H3QCLLRX4DLPI7IXG6MO3IMB \
  | 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: 5f0fb8096b8df835bd1f45cde63b68604e11e3af6bd51b5d36276a3a4c968a9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23e553d02c9ce0ba8cfa4c59c5fcbe167240ee47b3066ba00e27d6908d23c2bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-04-13T18:59:22Z",
    "title_canon_sha256": "b05e15c7f2e2429c046fe9259bf1bf062c2dc81411d8a668c933f33c923e77f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2247",
    "kind": "arxiv",
    "version": 1
  }
}