Pith Number

pith:YTOHL5JD

pith:2016:YTOHL5JDYWFVUPLE4DOY2VF5DD

not attested not anchored not stored refs pending

Approximation properties for locally compact quantum groups

Michael Brannan

arxiv:1605.01770 v1 · 2016-05-05 · 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{YTOHL5JDYWFVUPLE4DOY2VF5DD}

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	2026-05-18T01:15:31.542255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4dc75f523c58b5a3d64e0dd8d54bd18cee869c28f93661a7a69c6d9a19a72fb

Aliases

arxiv: 1605.01770 · arxiv_version: 1605.01770v1 · doi: 10.48550/arxiv.1605.01770 · pith_short_12: YTOHL5JDYWFV · pith_short_16: YTOHL5JDYWFVUPLE · pith_short_8: YTOHL5JD

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/YTOHL5JDYWFVUPLE4DOY2VF5DD \
  | 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: c4dc75f523c58b5a3d64e0dd8d54bd18cee869c28f93661a7a69c6d9a19a72fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10800cc6934ec97393a957651d5f3045639db3b667d9040f3d5a59d5abfbfb31",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-05-05T21:53:55Z",
    "title_canon_sha256": "91d46d99a7dab16d1bb3870a43ecfbb47248fdab8ec5786b7686021e8050a51a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01770",
    "kind": "arxiv",
    "version": 1
  }
}