Pith Number

pith:NGNFJUS3

pith:2010:NGNFJUS3MX4EE23WA6UKIIXCDH

not attested not anchored not stored refs pending

A cohomological description of property (T) for quantum groups

David Kyed

arxiv:1003.5181 v2 · 2010-03-26 · math.OA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NGNFJUS3MX4EE23WA6UKIIXCDH}

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	2026-05-18T04:22:01.052599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

699a54d25b65f8426b7607a8a422e219d5d7ce6b3770a090deafce08832e389e

Aliases

arxiv: 1003.5181 · arxiv_version: 1003.5181v2 · doi: 10.48550/arxiv.1003.5181 · pith_short_12: NGNFJUS3MX4E · pith_short_16: NGNFJUS3MX4EE23W · pith_short_8: NGNFJUS3

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/NGNFJUS3MX4EE23WA6UKIIXCDH \
  | 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: 699a54d25b65f8426b7607a8a422e219d5d7ce6b3770a090deafce08832e389e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d77ea9048bdcc400c9f8960f62ef0bd89b76c6c8d0acd6e192adeb7cc49876a",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-03-26T16:24:23Z",
    "title_canon_sha256": "3c098e0961abd5f55fdb7e8bf0561216a717fecd4a5726c20988f5c9e70bd6cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5181",
    "kind": "arxiv",
    "version": 2
  }
}