Pith Number

pith:F32ZNNUA

pith:2023:F32ZNNUAHRVL7WYI74PFIMNR7H

not attested not anchored not stored refs pending

Endomorphisms of Fano 3-folds and log Bott vanishing

Burt Totaro

arxiv:2305.18660 v2 · 2023-05-29 · 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{F32ZNNUAHRVL7WYI74PFIMNR7H}

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	2026-07-05T10:12:12.918096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ef596b6803c6abfdb08ff1e5431b1f9ce03e6592fcb13a2002b503e0801671f

Aliases

arxiv: 2305.18660 · arxiv_version: 2305.18660v2 · doi: 10.48550/arxiv.2305.18660 · pith_short_12: F32ZNNUAHRVL · pith_short_16: F32ZNNUAHRVL7WYI · pith_short_8: F32ZNNUA

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/F32ZNNUAHRVL7WYI74PFIMNR7H \
  | 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: 2ef596b6803c6abfdb08ff1e5431b1f9ce03e6592fcb13a2002b503e0801671f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "805e305ae9c3c49e974b038e73e8e038727bc1bcd5fa8e9f41e8b2ff0fa6188f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-05-29T23:48:11Z",
    "title_canon_sha256": "cda536943958b88bf08615be03b02d3dd90b3c2b1c792797791c7ca161d20f28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.18660",
    "kind": "arxiv",
    "version": 2
  }
}