Pith Number

pith:DWTINJYX

pith:2009:DWTINJYX3JQUVUPVXEVI6ICM2O

not attested not anchored not stored refs pending

Local topology in deformation spaces of hyperbolic 3-manifolds

Jeffrey F. Brock, Kenneth W. Bromberg, Richard D. Canary, Yair N. Minsky

arxiv:0911.1432 v1 · 2009-11-07 · 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{DWTINJYX3JQUVUPVXEVI6ICM2O}

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	2026-05-18T02:38:18.741912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1da686a717da614ad1f5b92a8f204cd3b25295cccf8afd824f9ea5eab9ff5602

Aliases

arxiv: 0911.1432 · arxiv_version: 0911.1432v1 · doi: 10.48550/arxiv.0911.1432 · pith_short_12: DWTINJYX3JQU · pith_short_16: DWTINJYX3JQUVUPV · pith_short_8: DWTINJYX

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/DWTINJYX3JQUVUPVXEVI6ICM2O \
  | 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: 1da686a717da614ad1f5b92a8f204cd3b25295cccf8afd824f9ea5eab9ff5602

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bde0a4ffdbd1862f21d2dd353efc4f367e278ce5f80ef68e4a4fc160927efe0",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-11-07T16:52:52Z",
    "title_canon_sha256": "9d785d7fe4096221ca955c0caf81976c96bd75c01ee020f97dbd5803ea63f5db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1432",
    "kind": "arxiv",
    "version": 1
  }
}