Pith Number

pith:TTT2ZLSC

pith:2017:TTT2ZLSCR6IHOPUTY6XDSVW5GF

not attested not anchored not stored refs pending

A spectral decomposition of orbital integrals for $PGL(2,F)$

David Kazhdan, Stephen DeBacker

arxiv:1701.04999 v2 · 2017-01-18 · 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{TTT2ZLSCR6IHOPUTY6XDSVW5GF}

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	2026-05-18T00:52:12.740968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ce7acae428f90773e93c7ae3956dd31742a64819e6a8526ad48cee3572c750f

Aliases

arxiv: 1701.04999 · arxiv_version: 1701.04999v2 · doi: 10.48550/arxiv.1701.04999 · pith_short_12: TTT2ZLSCR6IH · pith_short_16: TTT2ZLSCR6IHOPUT · pith_short_8: TTT2ZLSC

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/TTT2ZLSCR6IHOPUTY6XDSVW5GF \
  | 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: 9ce7acae428f90773e93c7ae3956dd31742a64819e6a8526ad48cee3572c750f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "871b07a6bebffb674a26994895332ccfc5a26f329a6d89e93bc456e5237a18a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-01-18T10:30:27Z",
    "title_canon_sha256": "3f3226cda3b39903f8aff56f70e13bd28dd7d4852be86d0a4545ed5751b8001b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04999",
    "kind": "arxiv",
    "version": 2
  }
}