Pith Number

pith:YKN2EOTG

pith:2022:YKN2EOTGFFCY6724FISMQDJJ6J

not attested not anchored not stored refs pending

Extendability of differential forms via Cartier operators

Tatsuro Kawakami

arxiv:2207.13967 v4 · 2022-07-28 · 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{YKN2EOTGFFCY6724FISMQDJJ6J}

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

2 papers in Pith

Extending one-forms on $F$-regular singularities

Local vanishing for F-pure threefolds

Receipt and verification

First computed	2026-07-05T07:04:41.694919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c29ba23a6629458f7f5c2a24c80d29f24fe9bcbb7027bb48794d7393274f3574

Aliases

arxiv: 2207.13967 · arxiv_version: 2207.13967v4 · doi: 10.48550/arxiv.2207.13967 · pith_short_12: YKN2EOTGFFCY · pith_short_16: YKN2EOTGFFCY6724 · pith_short_8: YKN2EOTG

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/YKN2EOTGFFCY6724FISMQDJJ6J \
  | 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: c29ba23a6629458f7f5c2a24c80d29f24fe9bcbb7027bb48794d7393274f3574

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f2d72d8d8c472426e5e9016a58ab97ea77124a26b251602dcc9490b77ed86ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-07-28T09:13:35Z",
    "title_canon_sha256": "23bd47eaefcfb6fc1ad59c6948004cb4ce87b45fa2fb69c48721ef9a54ad94a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.13967",
    "kind": "arxiv",
    "version": 4
  }
}