Pith Number

pith:ZOCLKJQ2

pith:2011:ZOCLKJQ2UAECRKZOUUNWENYFOW

not attested not anchored not stored refs pending

The Paley-Wiener Theorem and Limits of Symmetric Spaces

Gestur Olafsson, Joseph A. Wolf

arxiv:1101.4419 v1 · 2011-01-24 · 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{ZOCLKJQ2UAECRKZOUUNWENYFOW}

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	2026-05-18T04:31:11.077425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb84b5261aa00828ab2ea51b62370575aefa6fd469384338f7bb491f3714083c

Aliases

arxiv: 1101.4419 · arxiv_version: 1101.4419v1 · doi: 10.48550/arxiv.1101.4419 · pith_short_12: ZOCLKJQ2UAEC · pith_short_16: ZOCLKJQ2UAECRKZO · pith_short_8: ZOCLKJQ2

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/ZOCLKJQ2UAECRKZOUUNWENYFOW \
  | 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: cb84b5261aa00828ab2ea51b62370575aefa6fd469384338f7bb491f3714083c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "737e42fd3cb381fd6153aa8a9a436c81f11fa03d2c73bb0f0a8911cfc3d7ebd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-01-24T00:43:31Z",
    "title_canon_sha256": "c7271815913d09bedae69a3157b575225ab165a449580cee8a2488e0179ca041"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4419",
    "kind": "arxiv",
    "version": 1
  }
}