Pith Number

pith:QXBGR2EQ

pith:2015:QXBGR2EQQLRBKN7YMFATRALH57

not attested not anchored not stored refs pending

Resonances for the Laplacian on products of two rank one Riemannian symmetric spaces

A. Pasquale, J. Hilgert, T. Przebinda

arxiv:1508.07032 v2 · 2015-08-27 · 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{QXBGR2EQQLRBKN7YMFATRALH57}

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	2026-05-18T01:25:46.699499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85c268e89082e21537f86141388167effe26eeb56442926b05ec91e969a8c1c1

Aliases

arxiv: 1508.07032 · arxiv_version: 1508.07032v2 · doi: 10.48550/arxiv.1508.07032 · pith_short_12: QXBGR2EQQLRB · pith_short_16: QXBGR2EQQLRBKN7Y · pith_short_8: QXBGR2EQ

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/QXBGR2EQQLRBKN7YMFATRALH57 \
  | 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: 85c268e89082e21537f86141388167effe26eeb56442926b05ec91e969a8c1c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7467ad754fe222358cdc408aa3bd3b6596751a8b96fa3204d2a092427a790b3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-08-27T21:02:31Z",
    "title_canon_sha256": "4e2dc0b808b1f9325898bbbf39702393aa9a28afb50e612ffdd4f9dfa89c1cb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07032",
    "kind": "arxiv",
    "version": 2
  }
}