Pith Number

pith:BHEXWLLJ

pith:2012:BHEXWLLJBEOCXLMGZ5JUW7YTS4

not attested not anchored not stored refs pending

Fano 5-folds with nef tangent bundles and Picard numbers greater than one

Kiwamu Watanabe

arxiv:1208.3302 v2 · 2012-08-16 · 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{BHEXWLLJBEOCXLMGZ5JUW7YTS4}

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	2026-05-18T03:28:42.674906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09c97b2d69091c2bad86cf534b7f1397223336e91030e2a1655b9cab28ff1598

Aliases

arxiv: 1208.3302 · arxiv_version: 1208.3302v2 · doi: 10.48550/arxiv.1208.3302 · pith_short_12: BHEXWLLJBEOC · pith_short_16: BHEXWLLJBEOCXLMG · pith_short_8: BHEXWLLJ

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/BHEXWLLJBEOCXLMGZ5JUW7YTS4 \
  | 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: 09c97b2d69091c2bad86cf534b7f1397223336e91030e2a1655b9cab28ff1598

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d073e239ca4520d72a1ffd5c3e3150d0a73c10919f60bb9e6583b6bb3915147",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-08-16T07:13:30Z",
    "title_canon_sha256": "0106a6028b33b322a2c98608184f4dfc00a9e7d6624ab48f31ad90c2f77b9a27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3302",
    "kind": "arxiv",
    "version": 2
  }
}