Pith Number

pith:F6ZQRB3L

pith:2017:F6ZQRB3LNCQJETZZGNK4SRBBI7

not attested not anchored not stored refs pending

On the Frobenius direct image of the structure sheaf of a homogeneous projective variety

Masaharu Kaneda

arxiv:1704.01780 v4 · 2017-04-06 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F6ZQRB3LNCQJETZZGNK4SRBBI7}

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	2026-05-18T00:05:56.741737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fb308876b68a0924f393355c9442147cbadd9dc5945b98cb6b2b698c592a980

Aliases

arxiv: 1704.01780 · arxiv_version: 1704.01780v4 · doi: 10.48550/arxiv.1704.01780 · pith_short_12: F6ZQRB3LNCQJ · pith_short_16: F6ZQRB3LNCQJETZZ · pith_short_8: F6ZQRB3L

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/F6ZQRB3LNCQJETZZGNK4SRBBI7 \
  | 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: 2fb308876b68a0924f393355c9442147cbadd9dc5945b98cb6b2b698c592a980

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f72966b7f75fbf4044a5ea877c86f5150dd12931dcd81d92076be2f8ff58c7ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-04-06T11:01:30Z",
    "title_canon_sha256": "6c149b4b4b94d03972dee463fe46c351d599d45aaa5815a2a58cba098eec363f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01780",
    "kind": "arxiv",
    "version": 4
  }
}