Pith Number

pith:GCKAQEGF

pith:2008:GCKAQEGFCX4UOFBO2UHUODMTNP

not attested not anchored not stored refs pending

Disjointness of representations arising in harmonic analysis on the infinite-dimensional unitary group

Vadim Gorin

arxiv:0805.2660 v2 · 2008-05-17 · math.RT · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCKAQEGFCX4UOFBO2UHUODMTNP}

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	2026-05-18T04:15:17.260140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30940810c515f947142ed50f470d936bdcfd9ed92f974ea4d22894d33d2ec274

Aliases

arxiv: 0805.2660 · arxiv_version: 0805.2660v2 · doi: 10.48550/arxiv.0805.2660 · pith_short_12: GCKAQEGFCX4U · pith_short_16: GCKAQEGFCX4UOFBO · pith_short_8: GCKAQEGF

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/GCKAQEGFCX4UOFBO2UHUODMTNP \
  | 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: 30940810c515f947142ed50f470d936bdcfd9ed92f974ea4d22894d33d2ec274

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "859fb30e5a1b280432bc11d0e0d2c6baa97a28d63fb33ccd4ab1f36d865b65d1",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2008-05-17T12:27:36Z",
    "title_canon_sha256": "92b1d48116c13db5f35163cb2f98dc46f89bcfb19a3a1ed26d7c667302bae19a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.2660",
    "kind": "arxiv",
    "version": 2
  }
}