Pith Number

pith:AKGHZNGE

pith:2021:AKGHZNGEXDGOOTN7JL5RLWAMH5

not attested not anchored not stored refs pending

On the generic part of the cohomology of local and global Shimura varieties

Teruhisa Koshikawa

arxiv:2106.10602 v1 · 2021-06-20 · 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{AKGHZNGEXDGOOTN7JL5RLWAMH5}

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

4 papers in Pith

Arithmetic level raising for certain quaternionic unitary Shimura variety

Igusa Stacks and the Cohomology of Shimura Varieties

On the non-generic part of cohomology of compact unitary Shimura varieties of signature $(1,n)$

Infinitesimal characters for the completed cohomology of $\mathrm{GL}_n$ over CM fields

Receipt and verification

First computed	2026-07-05T02:50:50.883178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

028c7cb4c4b8cce74dbf4afb15d80c3f474cb6a37ec83be6648a42106016cbd9

Aliases

arxiv: 2106.10602 · arxiv_version: 2106.10602v1 · doi: 10.48550/arxiv.2106.10602 · pith_short_12: AKGHZNGEXDGO · pith_short_16: AKGHZNGEXDGOOTN7 · pith_short_8: AKGHZNGE

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/AKGHZNGEXDGOOTN7JL5RLWAMH5 \
  | 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: 028c7cb4c4b8cce74dbf4afb15d80c3f474cb6a37ec83be6648a42106016cbd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfda8e3f88825e04f4443151a5c0518601fc19d974f8b6fc235048392b07bc4f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-06-20T02:41:55Z",
    "title_canon_sha256": "9badde5ca6327afc0359eedfdc984cb953d3bcd4720bded1f4e9fb584fc6a567"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.10602",
    "kind": "arxiv",
    "version": 1
  }
}