Pith Number

pith:ZLHK5WS5

pith:2015:ZLHK5WS5QRIBG2G64WOVGCMR2R

not attested not anchored not stored refs pending

Amenable groups and a geometric view on unitarisability

Peter Schlicht

arxiv:1502.01498 v1 · 2015-02-05 · math.GR · 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{ZLHK5WS5QRIBG2G64WOVGCMR2R}

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	2026-05-18T02:27:51.919470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caceaeda5d84501368dee59d530991d469cae4e429406dbba6a3304135056a01

Aliases

arxiv: 1502.01498 · arxiv_version: 1502.01498v1 · doi: 10.48550/arxiv.1502.01498 · pith_short_12: ZLHK5WS5QRIB · pith_short_16: ZLHK5WS5QRIBG2G6 · pith_short_8: ZLHK5WS5

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/ZLHK5WS5QRIBG2G64WOVGCMR2R \
  | 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: caceaeda5d84501368dee59d530991d469cae4e429406dbba6a3304135056a01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a46642cad93fdc4c040569001917cf561de31763bdac5243b5e2c72626e01d2",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-02-05T11:04:57Z",
    "title_canon_sha256": "66a45d1fe7a7af1a5e026252ffb881712b4af415eeeef1673a08c8e3117702ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01498",
    "kind": "arxiv",
    "version": 1
  }
}