Pith Number

pith:QL4N6F4P

pith:2026:QL4N6F4P763O65JVIYL3KW6WQP

not attested not anchored not stored refs pending

$p$-adic Maass--Shimura operators on $\mu$-ordinary Igusa varieties

Andrew Graham, Pol van Hoften, Sean Howe

arxiv:2607.07427 v1 · 2026-07-08 · 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{QL4N6F4P763O65JVIYL3KW6WQP}

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	2026-07-09T01:20:24.630520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82f8df178fffb6ef75354617b55bd683c2399d7c48bd970af146358bf57ce06f

Aliases

arxiv: 2607.07427 · arxiv_version: 2607.07427v1 · doi: 10.48550/arxiv.2607.07427 · pith_short_12: QL4N6F4P763O · pith_short_16: QL4N6F4P763O65JV · pith_short_8: QL4N6F4P

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/QL4N6F4P763O65JVIYL3KW6WQP \
  | 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: 82f8df178fffb6ef75354617b55bd683c2399d7c48bd970af146358bf57ce06f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aca7c0d228c2419c86c9d56bb250e660e5ebf76d042d2e0c71c99898766aed80",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-08T13:57:35Z",
    "title_canon_sha256": "022dfaf5b06c827d595829241daa0fb32b3a9a659701c027389fe63b0f2987a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07427",
    "kind": "arxiv",
    "version": 1
  }
}