Pith Number

pith:DMZLWN75

pith:2025:DMZLWN75ZVLSGMCATHK2G6I4H4

not attested not anchored not stored refs pending

On the relative Langlands duality for $\operatorname{Sp}_{2n} \backslash \operatorname{GL}_{2n+1}$ (with an appendix by Zeyu Wang)

Guodong Xi, Weixiao Lu, Zeyu Wang

arxiv:2504.18774 v1 · 2025-04-26 · 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{DMZLWN75ZVLSGMCATHK2G6I4H4}

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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	2026-07-05T10:54:21.218741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b32bb37fdcd5723304099d5a3791c3f27329fc458a61ccd1c03eef2e6628bfe

Aliases

arxiv: 2504.18774 · arxiv_version: 2504.18774v1 · doi: 10.48550/arxiv.2504.18774 · pith_short_12: DMZLWN75ZVLS · pith_short_16: DMZLWN75ZVLSGMCA · pith_short_8: DMZLWN75

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/DMZLWN75ZVLSGMCATHK2G6I4H4 \
  | 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: 1b32bb37fdcd5723304099d5a3791c3f27329fc458a61ccd1c03eef2e6628bfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ca780532d0e77125e6109b24ece01ac6856286fec359bb0d69242b207fa8e4f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-04-26T03:06:45Z",
    "title_canon_sha256": "4100c8c2a99608e3f76a773c985d17d5bdcf3d407f57a981cdb14b8ebf2786c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.18774",
    "kind": "arxiv",
    "version": 1
  }
}