Pith Number

pith:AZODDHXI

pith:2011:AZODDHXIIFKZWDNEDDCOEU52KX

not attested not anchored not stored refs pending

On the Determination of the Plancherel measure for Lebedev-Whittaker transforms on GL(n)

Alex Kontorovich, Dorian Goldfeld

arxiv:1102.5086 v1 · 2011-02-24 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZODDHXIIFKZWDNEDDCOEU52KX}

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	2026-05-18T04:27:57.442240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

065c319ee841559b0da418c4e253ba55cfa740678bbba149ce22a79dd75a1fc7

Aliases

arxiv: 1102.5086 · arxiv_version: 1102.5086v1 · doi: 10.48550/arxiv.1102.5086 · pith_short_12: AZODDHXIIFKZ · pith_short_16: AZODDHXIIFKZWDNE · pith_short_8: AZODDHXI

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/AZODDHXIIFKZWDNEDDCOEU52KX \
  | 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: 065c319ee841559b0da418c4e253ba55cfa740678bbba149ce22a79dd75a1fc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e08865815ed918c2294cc1563765a08ba382736d6f4cd42da8da990148a76ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-24T20:56:37Z",
    "title_canon_sha256": "ef445fdeb0cbfe55733975b375dc0ef93af47447960d426fe5d95314c94a065e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5086",
    "kind": "arxiv",
    "version": 1
  }
}