Pith Number

pith:PI5RVABM

pith:2017:PI5RVABM5LK6MF7DTBV3OM5BQ7

not attested not anchored not stored refs pending

Quasi-isometric groups with no common model geometry

Daniel Woodhouse, Emily Stark

arxiv:1711.05026 v2 · 2017-11-14 · 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{PI5RVABM5LK6MF7DTBV3OM5BQ7}

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	2026-05-17T23:59:10.064853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a3b1a802cead5e617e3986bb733a187d1c12258f9ae410120bd9ee93aa025cc

Aliases

arxiv: 1711.05026 · arxiv_version: 1711.05026v2 · doi: 10.48550/arxiv.1711.05026 · pith_short_12: PI5RVABM5LK6 · pith_short_16: PI5RVABM5LK6MF7D · pith_short_8: PI5RVABM

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/PI5RVABM5LK6MF7DTBV3OM5BQ7 \
  | 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: 7a3b1a802cead5e617e3986bb733a187d1c12258f9ae410120bd9ee93aa025cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0ca6e202c62c49a0b28d3e408621554716cd2ece35943c76edd5a03a6b3f2ee",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-11-14T09:47:53Z",
    "title_canon_sha256": "17108389f610520439298196e3c6fc4844a93141fb10fda498e4800e045bf27b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05026",
    "kind": "arxiv",
    "version": 2
  }
}