Pith Number

pith:WGJNWZNF

pith:2026:WGJNWZNFWTQUTGIZCB4T2ZTSIR

not attested not anchored not stored refs pending

Canonical Bernstein-Zelevinsky Filtration and Casselman's Comparison Conjecture

Jun Yu, Kaidi Wu

arxiv:2606.12288 v1 · 2026-06-10 · 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{WGJNWZNFWTQUTGIZCB4T2ZTSIR}

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	2026-06-11T01:10:59.776498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b192db65a5b4e149991910793d6672446dde31d0d435e3e4e4b78dfe2f9bdce1

Aliases

arxiv: 2606.12288 · arxiv_version: 2606.12288v1 · doi: 10.48550/arxiv.2606.12288 · pith_short_12: WGJNWZNFWTQU · pith_short_16: WGJNWZNFWTQUTGIZ · pith_short_8: WGJNWZNF

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/WGJNWZNFWTQUTGIZCB4T2ZTSIR \
  | 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: b192db65a5b4e149991910793d6672446dde31d0d435e3e4e4b78dfe2f9bdce1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5050064fd0044c84ce0738669889fe1f9e8ef3a6884cee2311b3ea8ac1d4be8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-06-10T16:23:47Z",
    "title_canon_sha256": "7cb19a0b83ffa0da0a7a58e99166ee52f1b855627fbcbea3b8351527a2db98d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12288",
    "kind": "arxiv",
    "version": 1
  }
}