Pith Number

pith:NPOZZ3LP

pith:2016:NPOZZ3LPPNXFCDZOU5HC2T2BC5

not attested not anchored not stored refs pending

Hyperbolic rigidity of higher rank lattices

Thomas Haettel

arxiv:1607.02004 v2 · 2016-07-07 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NPOZZ3LPPNXFCDZOU5HC2T2BC5}

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	2026-05-18T01:01:15.504876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bdd9ced6f7b6e510f2ea74e2d4f4117427f7d457fa933e73e08ebc32c72a657

Aliases

arxiv: 1607.02004 · arxiv_version: 1607.02004v2 · doi: 10.48550/arxiv.1607.02004 · pith_short_12: NPOZZ3LPPNXF · pith_short_16: NPOZZ3LPPNXFCDZO · pith_short_8: NPOZZ3LP

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/NPOZZ3LPPNXFCDZOU5HC2T2BC5 \
  | 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: 6bdd9ced6f7b6e510f2ea74e2d4f4117427f7d457fa933e73e08ebc32c72a657

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3dbe4a312575be10c92d0cab6916b56ef85672d1c8dce3283be698f4fa9f2a7",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-07-07T13:31:19Z",
    "title_canon_sha256": "91f013cf54ba5406cf28c193f46413d69009dfce557488ece4505095a9c4d9e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02004",
    "kind": "arxiv",
    "version": 2
  }
}