Pith Number

pith:4EIQE53M

pith:2018:4EIQE53M25XRJWPKHGDV7QSHK7

not attested not anchored not stored refs pending

On comparison between relative log de Rham-Witt cohomology and relative log crystalline cohomology

Atsushi Shiho, Kazuki Hirayama

arxiv:1803.09245 v2 · 2018-03-25 · 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{4EIQE53M25XRJWPKHGDV7QSHK7}

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	2026-05-18T00:16:07.617601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e11102776cd76f14d9ea39875fc24757d83998edaee65a8482999384eeae22a8

Aliases

arxiv: 1803.09245 · arxiv_version: 1803.09245v2 · doi: 10.48550/arxiv.1803.09245 · pith_short_12: 4EIQE53M25XR · pith_short_16: 4EIQE53M25XRJWPK · pith_short_8: 4EIQE53M

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/4EIQE53M25XRJWPKHGDV7QSHK7 \
  | 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: e11102776cd76f14d9ea39875fc24757d83998edaee65a8482999384eeae22a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d445b096da88fc560264145d7882d0a71ed954464694f031d96c55afbf60d797",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-25T12:55:17Z",
    "title_canon_sha256": "54f853f315a88a3db17729c2c4e15747adca75cbae9480cd580b4a75df71e5fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09245",
    "kind": "arxiv",
    "version": 2
  }
}