Pith Number

pith:MOB4ZQDH

pith:2006:MOB4ZQDH7JMD5EWDOWCH4NN33O

not attested not anchored not stored refs pending

Coarse differentiation of quasi-isometries I: spaces not quasi-isometric to Cayley graphs

Alex Eskin, David Fisher, Kevin Whyte

arxiv:math/0607207 v3 · 2006-07-07 · math.GR · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MOB4ZQDH7JMD5EWDOWCH4NN33O}

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	2026-05-18T03:52:51.894610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6383ccc067fa583e92c375847e35bbdba86eabd16f5f0f6cb56f2808a902830a

Aliases

arxiv: math/0607207 · arxiv_version: math/0607207v3 · doi: 10.48550/arxiv.math/0607207 · pith_short_12: MOB4ZQDH7JMD · pith_short_16: MOB4ZQDH7JMD5EWD · pith_short_8: MOB4ZQDH

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/MOB4ZQDH7JMD5EWDOWCH4NN33O \
  | 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: 6383ccc067fa583e92c375847e35bbdba86eabd16f5f0f6cb56f2808a902830a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fe0da6fc053d56c0654ed6bb0dfde3686a1d6e4b72287548758848517996afd",
    "cross_cats_sorted": [
      "math.GT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2006-07-07T18:04:15Z",
    "title_canon_sha256": "f264f39b2964035b0f764490ab5894f05725259b315ab9444ea051f812684c33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607207",
    "kind": "arxiv",
    "version": 3
  }
}