Pith Number

pith:BCVP3BEU

pith:2011:BCVP3BEUA4ASINN6CS3TUBN5G7

not attested not anchored not stored refs pending

Harmonic Analysis on Quantum Complex Hyperbolic Spaces

Olga Bershtein, Yevgen Kolisnyk

arxiv:1108.3357 v3 · 2011-08-16 · math.QA · math.FA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BCVP3BEUA4ASINN6CS3TUBN5G7}

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	2026-05-18T04:13:06.795698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08aafd849407012435be14b73a05bd37e4c08cd01f2bbb9613d79df7f60c6264

Aliases

arxiv: 1108.3357 · arxiv_version: 1108.3357v3 · doi: 10.48550/arxiv.1108.3357 · pith_short_12: BCVP3BEUA4AS · pith_short_16: BCVP3BEUA4ASINN6 · pith_short_8: BCVP3BEU

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/BCVP3BEUA4ASINN6CS3TUBN5G7 \
  | 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: 08aafd849407012435be14b73a05bd37e4c08cd01f2bbb9613d79df7f60c6264

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e1a88b20142f665faed99699e1682f7244a1a0613612724da37b5530d8e74a2",
    "cross_cats_sorted": [
      "math.FA",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-08-16T21:21:47Z",
    "title_canon_sha256": "42422bd28439ae5d7a81134b428e3d588ef290563b95fa93b2ecc91c420cfb41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3357",
    "kind": "arxiv",
    "version": 3
  }
}