Pith Number

pith:N4NIOTM3

pith:2016:N4NIOTM3B2YV4LFC3INZJV3ALC

not attested not anchored not stored refs pending

Quasi-isometries need not induce homeomorphisms of contracting boundaries with the Gromov product topology

Christopher H. Cashen

arxiv:1605.01660 v2 · 2016-05-05 · 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{N4NIOTM3B2YV4LFC3INZJV3ALC}

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	2026-05-18T00:46:55.727563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f1a874d9b0eb15e2ca2da1b94d7605899e2080fcb601237bf86b8dced6fbde4

Aliases

arxiv: 1605.01660 · arxiv_version: 1605.01660v2 · doi: 10.48550/arxiv.1605.01660 · pith_short_12: N4NIOTM3B2YV · pith_short_16: N4NIOTM3B2YV4LFC · pith_short_8: N4NIOTM3

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/N4NIOTM3B2YV4LFC3INZJV3ALC \
  | 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: 6f1a874d9b0eb15e2ca2da1b94d7605899e2080fcb601237bf86b8dced6fbde4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b270d6c0891cd5175c511c3c9f31c913936ec3f1ec3876c7336e7a10b9db690",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-05-05T17:32:19Z",
    "title_canon_sha256": "391b01449dab1b5f22455a235a58f99ea67789dd2ee90cf2fdfa30a76ef6e7ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01660",
    "kind": "arxiv",
    "version": 2
  }
}