Pith Number

pith:XYQ5ZESL

pith:2011:XYQ5ZESLX6Q2C6FEQLN2BJKBBK

not attested not anchored not stored refs pending

Compactly supported cohomology and nearby cycle cohomology of open Shimura varieties of PEL type

Naoki Imai, Yoichi Mieda

arxiv:1109.4697 v2 · 2011-09-22 · 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{XYQ5ZESLX6Q2C6FEQLN2BJKBBK}

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	2026-05-18T04:12:31.851211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be21dc924bbfa1a178a482dba0a5410a85c239ade56b6f160a8a168cefa6dcb2

Aliases

arxiv: 1109.4697 · arxiv_version: 1109.4697v2 · doi: 10.48550/arxiv.1109.4697 · pith_short_12: XYQ5ZESLX6Q2 · pith_short_16: XYQ5ZESLX6Q2C6FE · pith_short_8: XYQ5ZESL

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/XYQ5ZESLX6Q2C6FEQLN2BJKBBK \
  | 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: be21dc924bbfa1a178a482dba0a5410a85c239ade56b6f160a8a168cefa6dcb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f419b5abd4acffd9902a7b92846f648c418da827c830bc4eaa59152fbab6973e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-22T03:50:08Z",
    "title_canon_sha256": "a7778d6b064c1d4d788c7da5732d9a7e333359a5f1533807c1fc6138ac0691df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4697",
    "kind": "arxiv",
    "version": 2
  }
}