Pith Number

pith:XKNDWYAF

pith:2017:XKNDWYAFK4RVCZX3Q7K4L5PPRP

not attested not anchored not stored refs pending

Modularity of generating series of divisors on unitary Shimura varieties

Benjamin Howard, Jan Bruinier, Michael Rapoport, Stephen S. Kudla, Tonghai Yang

arxiv:1702.07812 v3 · 2017-02-25 · 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{XKNDWYAFK4RVCZX3Q7K4L5PPRP}

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.

Cited by

1 paper in Pith

Weil representation and Arithmetic Fundamental Lemma

Receipt and verification

First computed	2026-07-05T00:42:57.327796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba9a3b600557235166fb87d5c5f5ef8bf2981e073bfe49d255d700c8573cbe80

Aliases

arxiv: 1702.07812 · arxiv_version: 1702.07812v3 · doi: 10.48550/arxiv.1702.07812 · pith_short_12: XKNDWYAFK4RV · pith_short_16: XKNDWYAFK4RVCZX3 · pith_short_8: XKNDWYAF

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/XKNDWYAFK4RVCZX3Q7K4L5PPRP \
  | 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: ba9a3b600557235166fb87d5c5f5ef8bf2981e073bfe49d255d700c8573cbe80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c4ea7f33c2cb43cfd58c86e3316168dea0d8d941c5a450e34af83d520ee8c16",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-02-25T00:39:06Z",
    "title_canon_sha256": "ca28df32e0d251eacf0a2b0f7c8d2258200b148a12567641784f6676913e0a6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07812",
    "kind": "arxiv",
    "version": 3
  }
}