Pith Number

pith:GWMTVP4I

pith:2025:GWMTVP4IY7D7WGSQ2KPYPKSPTT

not attested not anchored not stored refs pending

On the Kummer pro-\'etale cohomology of $\mathbb B_{\operatorname{dR}}$

Xinyu Shao

arxiv:2501.16916 v2 · 2025-01-28 · 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{GWMTVP4IY7D7WGSQ2KPYPKSPTT}

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	2026-07-05T11:23:22.631850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35993abf88c7c7fb1a50d29f87aa4f9cf5a1f06ac9ed169f78262364896a3eb1

Aliases

arxiv: 2501.16916 · arxiv_version: 2501.16916v2 · doi: 10.48550/arxiv.2501.16916 · pith_short_12: GWMTVP4IY7D7 · pith_short_16: GWMTVP4IY7D7WGSQ · pith_short_8: GWMTVP4I

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/GWMTVP4IY7D7WGSQ2KPYPKSPTT \
  | 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: 35993abf88c7c7fb1a50d29f87aa4f9cf5a1f06ac9ed169f78262364896a3eb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afbc4a475bc5672983e6402759b9a24966b661803e1750ae57eea92440e295ff",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-01-28T13:00:41Z",
    "title_canon_sha256": "4c8459bf5b6879b92349f981bbf574978c3360d9c0df0d3b7a73f265929eaa59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.16916",
    "kind": "arxiv",
    "version": 2
  }
}