Pith Number

pith:WGJLVBOK

pith:2016:WGJLVBOKA4TRRYVNQPIDHNPCAZ

not attested not anchored not stored refs pending

Parity preservation of $K$-types under theta correspondence

Xiang Fan

arxiv:1603.09673 v2 · 2016-03-31 · 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{WGJLVBOKA4TRRYVNQPIDHNPCAZ}

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	2026-05-17T23:58:59.492257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b192ba85ca072718e2ad83d033b5e206551b28fb9b027b215ef396b30e82917e

Aliases

arxiv: 1603.09673 · arxiv_version: 1603.09673v2 · doi: 10.48550/arxiv.1603.09673 · pith_short_12: WGJLVBOKA4TR · pith_short_16: WGJLVBOKA4TRRYVN · pith_short_8: WGJLVBOK

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/WGJLVBOKA4TRRYVNQPIDHNPCAZ \
  | 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: b192ba85ca072718e2ad83d033b5e206551b28fb9b027b215ef396b30e82917e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59521c2651c01ff59c9423abafd2d23ac4e63fc7a901bcd0261086fa24c0e966",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-03-31T16:31:36Z",
    "title_canon_sha256": "996b74f80414cc98cdd28f9abeeeee4ce5daaced1cfcc4a93e9d68e7b0fdd38c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09673",
    "kind": "arxiv",
    "version": 2
  }
}