Pith Number

pith:QWE27TJT

pith:2015:QWE27TJTJSV2J7CUVV43KZ2ABQ

not attested not anchored not stored refs pending

Cantor systems and quasi-isometry of groups

Andreas Thom, Kostya Medynets, Roman Sauer

arxiv:1508.07578 v2 · 2015-08-30 · math.DS · 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{QWE27TJTJSV2J7CUVV43KZ2ABQ}

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	2026-05-18T00:42:02.822374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8589afcd334caba4fc54ad79b567400c38bebba8ec21359ccc54c829a8c5d2a5

Aliases

arxiv: 1508.07578 · arxiv_version: 1508.07578v2 · doi: 10.48550/arxiv.1508.07578 · pith_short_12: QWE27TJTJSV2 · pith_short_16: QWE27TJTJSV2J7CU · pith_short_8: QWE27TJT

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/QWE27TJTJSV2J7CUVV43KZ2ABQ \
  | 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: 8589afcd334caba4fc54ad79b567400c38bebba8ec21359ccc54c829a8c5d2a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e94010b4819f3a38503db3c6eb59f772000811f3b7d1ab960dc5971e10966280",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-08-30T14:30:13Z",
    "title_canon_sha256": "5efef75b90fa3a6d3388df8ab242a1ccab79205e0894584493808a3312c31b46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07578",
    "kind": "arxiv",
    "version": 2
  }
}