Pith Number

pith:QCEQZROB

pith:2012:QCEQZROBJEN7KCEYHMTCWQQJJP

not attested not anchored not stored refs pending

Beyond endoscopy for the relative trace formula I: local theory

Yiannis Sakellaridis

arxiv:1207.5761 v2 · 2012-07-24 · math.NT · 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{QCEQZROBJEN7KCEYHMTCWQQJJP}

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	2026-05-18T03:45:33.080235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80890cc5c1491bf508983b262b42094bc3f9442324c0fa4c2f8974d5696c1895

Aliases

arxiv: 1207.5761 · arxiv_version: 1207.5761v2 · doi: 10.48550/arxiv.1207.5761 · pith_short_12: QCEQZROBJEN7 · pith_short_16: QCEQZROBJEN7KCEY · pith_short_8: QCEQZROB

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/QCEQZROBJEN7KCEYHMTCWQQJJP \
  | 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: 80890cc5c1491bf508983b262b42094bc3f9442324c0fa4c2f8974d5696c1895

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5505e15abf4c1430f22b0afa9b7945178d6af6c5731afbc6859c41b9587561bc",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-24T18:08:43Z",
    "title_canon_sha256": "ef936c3860532c622ced1c6064b50a996311d8cec0397227f7e90380a0aacf4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5761",
    "kind": "arxiv",
    "version": 2
  }
}