Pith Number

pith:FNY6TAWK

pith:2025:FNY6TAWK7MSES7WNOUPFBC5JMN

not attested not anchored not stored refs pending

Categorical K\"unneth formulas for analytic stacks

Youshua Kesting

arxiv:2507.08566 v1 · 2025-07-11 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNY6TAWK7MSES7WNOUPFBC5JMN}

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

On the action of the center in the $\ell$-adic categorical Langlands program

Receipt and verification

First computed	2026-07-05T11:35:42.084430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b71e982cafb24497ecd751e508ba963414d6d4ed7a4b56c529f5ea0cb01b9b4

Aliases

arxiv: 2507.08566 · arxiv_version: 2507.08566v1 · doi: 10.48550/arxiv.2507.08566 · pith_short_12: FNY6TAWK7MSE · pith_short_16: FNY6TAWK7MSES7WN · pith_short_8: FNY6TAWK

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/FNY6TAWK7MSES7WNOUPFBC5JMN \
  | 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: 2b71e982cafb24497ecd751e508ba963414d6d4ed7a4b56c529f5ea0cb01b9b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed5af465e30cf3beaf36f5e6ffbc3ff7715b7326617ab4fe8711ce9526120830",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-11T13:08:37Z",
    "title_canon_sha256": "5c968dad35d32b97293b1a02cc1049f0fc58ebb0fbc8cd53c50118eceb553430"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08566",
    "kind": "arxiv",
    "version": 1
  }
}