Pith Number

pith:R5SMOQ3D

pith:2026:R5SMOQ3DZXENDJQLCMNU36BVUW

not attested not anchored not stored refs pending

Diagonal cycles on Shtukas and the adjoint $L$-function

Zeyu Wang

arxiv:2607.25237 v1 · 2026-07-28 · math.NT · math.AG · 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{R5SMOQ3DZXENDJQLCMNU36BVUW}

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	2026-07-29T00:25:10.163275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f64c74363cdc8d1a60b131b4df835a5a49e7801112c528509a894463bdda618

Aliases

arxiv: 2607.25237 · arxiv_version: 2607.25237v1 · doi: 10.48550/arxiv.2607.25237 · pith_short_12: R5SMOQ3DZXEN · pith_short_16: R5SMOQ3DZXENDJQL · pith_short_8: R5SMOQ3D

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/R5SMOQ3DZXENDJQLCMNU36BVUW \
  | 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: 8f64c74363cdc8d1a60b131b4df835a5a49e7801112c528509a894463bdda618

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8702a0cd64b4f791b3fdb779d0f5ff8e71b5dd1f9a6a0db234190a879217a9b",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-28T03:24:57Z",
    "title_canon_sha256": "c554c3bf4f0f9ef4f3b408cc28dffffd72c7ffb8519d2e976c8f643110e83daf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25237",
    "kind": "arxiv",
    "version": 1
  }
}