Pith Number

pith:6ABPPI3Y

pith:2013:6ABPPI3YRFFM4DDMAKS5DADB5Y

not attested not anchored not stored refs pending

A Haagerup Inequality for $\tA_1\times\tA_1$ and $\tA_2$ Buildings

Guyan Robertson, Jacqui Ramagge, Tim Steger

arxiv:1302.5598 v1 · 2013-02-22 · math.FA · 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{6ABPPI3YRFFM4DDMAKS5DADB5Y}

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	2026-05-18T03:32:46.295135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f002f7a378894ace0c6c02a5d18061ee0701af23ff72e356e462707ffa3de404

Aliases

arxiv: 1302.5598 · arxiv_version: 1302.5598v1 · doi: 10.48550/arxiv.1302.5598 · pith_short_12: 6ABPPI3YRFFM · pith_short_16: 6ABPPI3YRFFM4DDM · pith_short_8: 6ABPPI3Y

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/6ABPPI3YRFFM4DDMAKS5DADB5Y \
  | 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: f002f7a378894ace0c6c02a5d18061ee0701af23ff72e356e462707ffa3de404

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a6c59740719dbb13a91ca8867ffd00017af0bba615e3365fedf4ecc759b580a",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-02-22T14:08:06Z",
    "title_canon_sha256": "80186d1d705c70823086f5e7c99adf3e4d4ab5cd07434a5e4b0c58271162ba6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5598",
    "kind": "arxiv",
    "version": 1
  }
}