Pith Number

pith:5AKL4PG5

pith:2023:5AKL4PG57AN7MZ2HBXSY336VMY

not attested not anchored not stored refs pending

Endomorphisms of varieties and Bott vanishing

Burt Totaro, Tatsuro Kawakami

arxiv:2302.11921 v5 · 2023-02-23 · 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{5AKL4PG57AN7MZ2HBXSY336VMY}

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

1 paper in Pith

Images of toric variety and amplified endomorphism of weak Fano threefolds

Receipt and verification

First computed	2026-07-05T08:07:26.910107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e814be3cddf81bf667470de58defd56606448e1f005517e66acd1baf544f034d

Aliases

arxiv: 2302.11921 · arxiv_version: 2302.11921v5 · doi: 10.48550/arxiv.2302.11921 · pith_short_12: 5AKL4PG57AN7 · pith_short_16: 5AKL4PG57AN7MZ2H · pith_short_8: 5AKL4PG5

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/5AKL4PG57AN7MZ2HBXSY336VMY \
  | 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: e814be3cddf81bf667470de58defd56606448e1f005517e66acd1baf544f034d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fd2a2acc1c4bf2d62759cabee99f8a5cdd683dd587ab924a57b5efea1d552a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-02-23T10:57:07Z",
    "title_canon_sha256": "c54d062591fa0f348fc9989f976330533bc63759c73d8185df84714bd717f04d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.11921",
    "kind": "arxiv",
    "version": 5
  }
}