Pith Number

pith:E2YXOKEX

pith:2012:E2YXOKEXUZH34OPYZF3W7UUPTX

not attested not anchored not stored refs pending

Lefschetz trace formula and l-adic cohomology of Rapoport-Zink tower for GSp(4)

Yoichi Mieda

arxiv:1212.4922 v1 · 2012-12-20 · 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{E2YXOKEXUZH34OPYZF3W7UUPTX}

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	2026-05-18T03:38:04.341468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26b1772897a64fbe39f8c9776fd28f9dd80b881b3c159861fb7dc892d2e31992

Aliases

arxiv: 1212.4922 · arxiv_version: 1212.4922v1 · doi: 10.48550/arxiv.1212.4922 · pith_short_12: E2YXOKEXUZH3 · pith_short_16: E2YXOKEXUZH34OPY · pith_short_8: E2YXOKEX

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/E2YXOKEXUZH34OPYZF3W7UUPTX \
  | 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: 26b1772897a64fbe39f8c9776fd28f9dd80b881b3c159861fb7dc892d2e31992

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8497ea2a7a3898ba3252dde6966b2f612de64dc631ee096ae2e4ce64fd3918fa",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-20T04:46:31Z",
    "title_canon_sha256": "1eb5af9bd291b9a7d4522ccbf08c76526050b82f7ee9e9c9513ef868e588d2c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4922",
    "kind": "arxiv",
    "version": 1
  }
}