Pith Number

pith:JY22ODGN

pith:2015:JY22ODGNDQ63MKJOYGWVVPIBRL

not attested not anchored not stored refs pending

Global smooth and topological rigidity of hyperbolic lattice actions

Aaron Brown, Federico Rodriguez Hertz, Zhiren Wang

arxiv:1512.06720 v2 · 2015-12-21 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JY22ODGNDQ63MKJOYGWVVPIBRL}

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	2026-05-18T01:19:33.913085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e35a70ccd1c3db6292ec1ad5abd018af45ef0da41cb10d77dad37bfff7d3d26

Aliases

arxiv: 1512.06720 · arxiv_version: 1512.06720v2 · doi: 10.48550/arxiv.1512.06720 · pith_short_12: JY22ODGNDQ63 · pith_short_16: JY22ODGNDQ63MKJO · pith_short_8: JY22ODGN

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/JY22ODGNDQ63MKJOYGWVVPIBRL \
  | 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: 4e35a70ccd1c3db6292ec1ad5abd018af45ef0da41cb10d77dad37bfff7d3d26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af9123308a7bc3cba003bc93c26953b5c88d9237f499bd6e00af92bcee66ee14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-12-21T17:28:13Z",
    "title_canon_sha256": "59ea7bb56715397a873de3dd0e59410558b4444007f155b0b2f5fc71548a1719"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06720",
    "kind": "arxiv",
    "version": 2
  }
}