Pith Number

pith:IEWLRIPF

pith:2012:IEWLRIPFCDTFNIM2IJVZ7SS7BV

not attested not anchored not stored refs pending

The Bessel-Plancherel theorem and applications

Raul Gomez

arxiv:1211.5879 v1 · 2012-11-26 · 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{IEWLRIPFCDTFNIM2IJVZ7SS7BV}

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	2026-05-18T03:40:01.720724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

412cb8a1e510e656a19a426b9fca5f0d630a18e44f1bb1ff4e8469b0b0082f0c

Aliases

arxiv: 1211.5879 · arxiv_version: 1211.5879v1 · doi: 10.48550/arxiv.1211.5879 · pith_short_12: IEWLRIPFCDTF · pith_short_16: IEWLRIPFCDTFNIM2 · pith_short_8: IEWLRIPF

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/IEWLRIPFCDTFNIM2IJVZ7SS7BV \
  | 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: 412cb8a1e510e656a19a426b9fca5f0d630a18e44f1bb1ff4e8469b0b0082f0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0e8a38a8597829551e8dbe20220d8edb35c3b203d95598a3e4172676d7a15d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-11-26T08:19:33Z",
    "title_canon_sha256": "490fd88a2c1bdffd5633f0ba6425236bb64d23af040b63ac3401afaf1acde3b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5879",
    "kind": "arxiv",
    "version": 1
  }
}