Pith Number

pith:KV4K2HAX

pith:2026:KV4K2HAXPMLXR6SSW6OICN6U2Y

not attested not anchored not stored refs pending

Canonical extensions of $p$-adic shtukas on toroidal compactifications of Shimura varieties

Peihang Wu, Shengkai Mao

arxiv:2605.30086 v1 · 2026-05-28 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KV4K2HAXPMLXR6SSW6OICN6U2Y}

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	2026-05-29T02:06:09.579934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5578ad1c177b1778fa52b79c8137d4d63ddde245ec9b2af531e92a94f7576d42

Aliases

arxiv: 2605.30086 · arxiv_version: 2605.30086v1 · doi: 10.48550/arxiv.2605.30086 · pith_short_12: KV4K2HAXPMLX · pith_short_16: KV4K2HAXPMLXR6SS · pith_short_8: KV4K2HAX

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/KV4K2HAXPMLXR6SSW6OICN6U2Y \
  | 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: 5578ad1c177b1778fa52b79c8137d4d63ddde245ec9b2af531e92a94f7576d42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15bdb6110f24b3ff4926e2a2fffb8b6c118d410ac070263f6a35930739a8fd05",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-28T15:31:45Z",
    "title_canon_sha256": "c828b980ff101c0f50e069a95eff849e1ad298a28bd1ab3fb8f351530c2447c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30086",
    "kind": "arxiv",
    "version": 1
  }
}