Pith Number

pith:6WUONBTI

pith:2023:6WUONBTIY3552WK7D2FV3RJY4C

not attested not anchored not stored refs pending

Bott vanishing for Fano 3-folds

Burt Totaro

arxiv:2302.08142 v1 · 2023-02-16 · 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{6WUONBTIY3552WK7D2FV3RJY4C}

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	2026-07-05T05:42:34.876783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5a8e68668c6fbdd595f1e8b5dc538e09a519812748d4081b6859c271fff6dde

Aliases

arxiv: 2302.08142 · arxiv_version: 2302.08142v1 · doi: 10.48550/arxiv.2302.08142 · pith_short_12: 6WUONBTIY355 · pith_short_16: 6WUONBTIY3552WK7 · pith_short_8: 6WUONBTI

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/6WUONBTIY3552WK7D2FV3RJY4C \
  | 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: f5a8e68668c6fbdd595f1e8b5dc538e09a519812748d4081b6859c271fff6dde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d376f9a54346f7eac06d0231f9e98aae681c90e2fd6e0124529947b508d3a6b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-02-16T08:28:13Z",
    "title_canon_sha256": "ee23c79121a019a0536b98a549105865590669d3899cef00febc4473e35cd411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.08142",
    "kind": "arxiv",
    "version": 1
  }
}