Pith Number

pith:KIYPS2CY

pith:2015:KIYPS2CYASBLH5S66XSAFFFTM7

not attested not anchored not stored refs pending

Integrable orbit equivalence rigidity for free groups

Lewis Bowen

arxiv:1601.00023 v1 · 2015-12-31 · 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{KIYPS2CYASBLH5S66XSAFFFTM7}

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	2026-05-18T01:23:32.023550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5230f968580482b3f65ef5e40294b367cc2206bde1bee8ffa53dfab7c4fb2c37

Aliases

arxiv: 1601.00023 · arxiv_version: 1601.00023v1 · doi: 10.48550/arxiv.1601.00023 · pith_short_12: KIYPS2CYASBL · pith_short_16: KIYPS2CYASBLH5S6 · pith_short_8: KIYPS2CY

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/KIYPS2CYASBLH5S66XSAFFFTM7 \
  | 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: 5230f968580482b3f65ef5e40294b367cc2206bde1bee8ffa53dfab7c4fb2c37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2a1c25d610039e5e689de685290b122c0c936fe8c119a5bea89a510ee33607b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-12-31T22:15:48Z",
    "title_canon_sha256": "caffe5d69a727c02cc22d8bbd2a51f02548d85dd6386848448792b32b4c7ccf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00023",
    "kind": "arxiv",
    "version": 1
  }
}