Pith Number

pith:PMZ6YJ57

pith:2026:PMZ6YJ57TUYEINIOLEQ2KKIWRI

not attested not anchored not stored refs pending

Stability of the smooth Casselman-Jacquet functor

Hongfeng Zhang, Jun Yu, Kaidi Wu, Kei Yuen Chan

arxiv:2606.06243 v1 · 2026-06-04 · math.RT · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMZ6YJ57TUYEINIOLEQ2KKIWRI}

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	2026-06-05T01:15:39.083125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b33ec27bf9d3044350e5921a529168a1d9e1e2497a7203ccf92fa30f6495f14

Aliases

arxiv: 2606.06243 · arxiv_version: 2606.06243v1 · doi: 10.48550/arxiv.2606.06243 · pith_short_12: PMZ6YJ57TUYE · pith_short_16: PMZ6YJ57TUYEINIO · pith_short_8: PMZ6YJ57

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/PMZ6YJ57TUYEINIOLEQ2KKIWRI \
  | 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: 7b33ec27bf9d3044350e5921a529168a1d9e1e2497a7203ccf92fa30f6495f14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec6745979997dc85f0aae4b5f5012ffd76a3492f308ece1d893e40411ecb2b6d",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-06-04T14:47:53Z",
    "title_canon_sha256": "91e7c95ac17f69ed7ccaccc73cc76f39ce4de600630d6058d3fcf5a51a8d2d86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06243",
    "kind": "arxiv",
    "version": 1
  }
}