Pith Number

pith:JADPXQJA

pith:2014:JADPXQJAOTQS2YLMWZKJRGXBZP

not attested not anchored not stored refs pending

The harmonic analysis of lattice counting on real spherical spaces

Bernhard Kr\"otz, Eitan Sayag, Henrik Schlichtkrull

arxiv:1409.0258 v2 · 2014-08-31 · 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{JADPXQJAOTQS2YLMWZKJRGXBZP}

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	2026-05-17T23:43:38.635581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4806fbc12074e12d616cb654989ae1cbe8685c434d37dfc982f5d4d706f0ee94

Aliases

arxiv: 1409.0258 · arxiv_version: 1409.0258v2 · doi: 10.48550/arxiv.1409.0258 · pith_short_12: JADPXQJAOTQS · pith_short_16: JADPXQJAOTQS2YLM · pith_short_8: JADPXQJA

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/JADPXQJAOTQS2YLMWZKJRGXBZP \
  | 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: 4806fbc12074e12d616cb654989ae1cbe8685c434d37dfc982f5d4d706f0ee94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdcbe038a9e549dfeb8c2f0421a04055ab3a3259abc7fd1fb76afbd6e06cac54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-08-31T19:57:29Z",
    "title_canon_sha256": "e4f98019e36c5a4362830ebd1cf3cd1cbf2afb043617bda384b3b03eb683ebb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0258",
    "kind": "arxiv",
    "version": 2
  }
}