Pith Number

pith:G74WSQVE

pith:2010:G74WSQVEB5QAJ52VIYNFJHO7ZR

not attested not anchored not stored refs pending

Integrable measure equivalence and rigidity of hyperbolic lattices

Alex Furman, Roman Sauer, Uri Bader

arxiv:1006.5193 v2 · 2010-06-27 · math.GR · 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{G74WSQVEB5QAJ52VIYNFJHO7ZR}

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	2026-05-18T03:38:44.041909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37f96942a40f6004f755461a549ddfcc68e03e9902632336fc8277dd9718775c

Aliases

arxiv: 1006.5193 · arxiv_version: 1006.5193v2 · doi: 10.48550/arxiv.1006.5193 · pith_short_12: G74WSQVEB5QA · pith_short_16: G74WSQVEB5QAJ52V · pith_short_8: G74WSQVE

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/G74WSQVEB5QAJ52VIYNFJHO7ZR \
  | 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: 37f96942a40f6004f755461a549ddfcc68e03e9902632336fc8277dd9718775c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f7f204b01d3f87b210b9c3b436955464440034fad4e0ea39cf2d718acb9eada",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-06-27T09:52:23Z",
    "title_canon_sha256": "f07e8d16af0497aa2f0ce64ff0d0cdfdd3848826a947ecb8cd60427a16fb423c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5193",
    "kind": "arxiv",
    "version": 2
  }
}