Pith Number

pith:6IZXGABE

pith:2010:6IZXGABEJWYOIBWBBEQAT4WV36

not attested not anchored not stored refs pending

Fourier transforms of orbital integrals on the Lie algebra of $\operatorname{SL}_2$

Loren Spice

arxiv:1008.1592 v2 · 2010-08-09 · 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{6IZXGABEJWYOIBWBBEQAT4WV36}

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	2026-05-18T00:53:11.247775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2337300244db0e406c1092009f2d5dfbea4b80fc3729392c95a0a021016edf0

Aliases

arxiv: 1008.1592 · arxiv_version: 1008.1592v2 · doi: 10.48550/arxiv.1008.1592 · pith_short_12: 6IZXGABEJWYO · pith_short_16: 6IZXGABEJWYOIBWB · pith_short_8: 6IZXGABE

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/6IZXGABEJWYOIBWBBEQAT4WV36 \
  | 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: f2337300244db0e406c1092009f2d5dfbea4b80fc3729392c95a0a021016edf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba9a9dd9abaacf07d4e1af5b1eb201f3fb9be45afa415cf04209f690823d1115",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-08-09T20:22:00Z",
    "title_canon_sha256": "e514033c991966e1ada3ad5a8b89d0672e01babd40afb35e9579e266280295cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1592",
    "kind": "arxiv",
    "version": 2
  }
}