Pith Number

pith:K46XQ35C

pith:2016:K46XQ35CKVYHM4TSO3WIBAEMMK

not attested not anchored not stored refs pending

Kaehler differentials for fat point schemes in P^1xP^1

Elena Guardo, Le Ngoc Long, Martin Kreuzer, Tran N. K. Linh

arxiv:1611.09851 v2 · 2016-11-29 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K46XQ35CKVYHM4TSO3WIBAEMMK}

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	2026-05-18T00:24:22.759144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

573d786fa2557076727276ec80808c6284069a3a3d279f11144163e9fa96746a

Aliases

arxiv: 1611.09851 · arxiv_version: 1611.09851v2 · doi: 10.48550/arxiv.1611.09851 · pith_short_12: K46XQ35CKVYH · pith_short_16: K46XQ35CKVYHM4TS · pith_short_8: K46XQ35C

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/K46XQ35CKVYHM4TSO3WIBAEMMK \
  | 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: 573d786fa2557076727276ec80808c6284069a3a3d279f11144163e9fa96746a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40b6d79701a5355d49a4a08bb583d42f84daea597b6ccaf74b43c3f01505b822",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-11-29T14:17:54Z",
    "title_canon_sha256": "02922c9f2344d3a69cf2c152e73b98124d0b5858d60b141674b251d8845ff642"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09851",
    "kind": "arxiv",
    "version": 2
  }
}