Pith Number

pith:AYCOCQYZ

pith:2015:AYCOCQYZ55X6KS4H6XVWY427F2

not attested not anchored not stored refs pending

Property $T$ for general locally compact quantum groups

Chi-Keung Ng, Xiao Chen

arxiv:1509.02262 v1 · 2015-09-08 · math.QA · math.FA · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYCOCQYZ55X6KS4H6XVWY427F2}

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	2026-05-18T01:30:57.489266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0604e14319ef6fe54b87f5eb6c735f2eb651a20f1fa88f4d39d5814ac26b1dba

Aliases

arxiv: 1509.02262 · arxiv_version: 1509.02262v1 · doi: 10.48550/arxiv.1509.02262 · pith_short_12: AYCOCQYZ55X6 · pith_short_16: AYCOCQYZ55X6KS4H · pith_short_8: AYCOCQYZ

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/AYCOCQYZ55X6KS4H6XVWY427F2 \
  | 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: 0604e14319ef6fe54b87f5eb6c735f2eb651a20f1fa88f4d39d5814ac26b1dba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c04a248e0caa138c8c3998aeaff21d6c8522e0d43d30924d22391453822e814",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-09-08T06:55:23Z",
    "title_canon_sha256": "2eb7a1a5cc018d30128a8f583d31104e7f4179e8ffb61ae668063326fc0b3a02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02262",
    "kind": "arxiv",
    "version": 1
  }
}