Pith Number

pith:IIPXU5KI

pith:2010:IIPXU5KIKSECF2HILBHO6YT7OC

not attested not anchored not stored refs pending

Split Quaternionic Analysis and Separation of the Series for SL(2,R) and SL(2,C)/SL(2,R)

Igor Frenkel, Matvei Libine

arxiv:1009.2532 v2 · 2010-09-13 · math.RT · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IIPXU5KIKSECF2HILBHO6YT7OC}

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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	2026-05-18T04:17:04.507414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

421f7a7548548822e8e8584eef627f708643f6396132256cd703b50253345bf5

Aliases

arxiv: 1009.2532 · arxiv_version: 1009.2532v2 · doi: 10.48550/arxiv.1009.2532 · pith_short_12: IIPXU5KIKSEC · pith_short_16: IIPXU5KIKSECF2HI · pith_short_8: IIPXU5KI

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/IIPXU5KIKSECF2HILBHO6YT7OC \
  | 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: 421f7a7548548822e8e8584eef627f708643f6396132256cd703b50253345bf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74276fbc3b749d9837c99f7e957e109fb57648cdcc1ac7f501a0acd12b1fb39d",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-09-13T22:31:23Z",
    "title_canon_sha256": "2b11ddfbb369ae93f80e6a393778c63189e7968f3b06b0be7722a2f7753236a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2532",
    "kind": "arxiv",
    "version": 2
  }
}