Pith Number

pith:LT6C7JT6

pith:2004:LT6C7JT6EH3BMG7OGETAZHZ4IC

not attested not anchored not stored refs pending

The classification of Kleinian surface groups, II: The Ending Lamination Conjecture

Jeffrey F. Brock, Richard D. Canary, Yair N. Minsky

arxiv:math/0412006 v2 · 2004-12-01 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LT6C7JT6EH3BMG7OGETAZHZ4IC}

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	2026-05-18T04:27:03.911779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cfc2fa67e21f6161bee31260c9f3c40889e30fdbffe112759268954ce209b1b

Aliases

arxiv: math/0412006 · arxiv_version: math/0412006v2 · doi: 10.48550/arxiv.math/0412006 · pith_short_12: LT6C7JT6EH3B · pith_short_16: LT6C7JT6EH3BMG7O · pith_short_8: LT6C7JT6

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/LT6C7JT6EH3BMG7OGETAZHZ4IC \
  | 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: 5cfc2fa67e21f6161bee31260c9f3c40889e30fdbffe112759268954ce209b1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65d20b2ba65df47778266852712a0be0b9f99784b14e2ca9169200f99a1c8d33",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2004-12-01T05:27:49Z",
    "title_canon_sha256": "2e62cad11826793df31fbdbf284002f425896cac523974e05d6cc6a1a1d2b5ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0412006",
    "kind": "arxiv",
    "version": 2
  }
}