Pith Number

pith:3AHU37KQ

pith:2017:3AHU37KQ5EY7XM3GCZWSEWDY4U

not attested not anchored not stored refs pending

Inner amenability and approximation properties of locally compact quantum groups

Jason Crann

arxiv:1709.01770 v2 · 2017-09-06 · 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{3AHU37KQ5EY7XM3GCZWSEWDY4U}

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	2026-05-18T00:15:10.211938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d80f4dfd50e931fbb366166d225878e53be2058df9efcba3f2e4282e56a87a0b

Aliases

arxiv: 1709.01770 · arxiv_version: 1709.01770v2 · doi: 10.48550/arxiv.1709.01770 · pith_short_12: 3AHU37KQ5EY7 · pith_short_16: 3AHU37KQ5EY7XM3G · pith_short_8: 3AHU37KQ

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/3AHU37KQ5EY7XM3GCZWSEWDY4U \
  | 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: d80f4dfd50e931fbb366166d225878e53be2058df9efcba3f2e4282e56a87a0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c555560345ae4cb162c234e72b3eb06d3a4a72b1b1783c27cde8e326cb29fe1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-09-06T11:20:24Z",
    "title_canon_sha256": "21292b0110d2e4ce075c61c465d19b5fd2ceb82609fed36076dc0db77a40972b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01770",
    "kind": "arxiv",
    "version": 2
  }
}