Pith Number

pith:JATND2FJ

pith:2019:JATND2FJYYC3WTBRLTHSQZUMR7

not attested not anchored not stored refs pending

Fano manifolds containing a negative divisor isomorphic to a rational homogeneous space of Picard number one

Jie Liu

arxiv:1905.07752 v2 · 2019-05-19 · 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{JATND2FJYYC3WTBRLTHSQZUMR7}

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	2026-07-05T03:01:32.272233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4826d1e8a9c605bb4c315ccf28668c8fc1d158c5e8ac4b09b315ba4a9daba43a

Aliases

arxiv: 1905.07752 · arxiv_version: 1905.07752v2 · doi: 10.48550/arxiv.1905.07752 · pith_short_12: JATND2FJYYC3 · pith_short_16: JATND2FJYYC3WTBR · pith_short_8: JATND2FJ

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/JATND2FJYYC3WTBRLTHSQZUMR7 \
  | 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: 4826d1e8a9c605bb4c315ccf28668c8fc1d158c5e8ac4b09b315ba4a9daba43a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6484c2960b580be3f1479ca8da2d38ea00eadaa24a535c576e8f4a7808d0ece",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-05-19T15:07:17Z",
    "title_canon_sha256": "f3f166a14a236b15d51e5912aeee83e092c6d5209c78b3cb11e8015b0e652df9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.07752",
    "kind": "arxiv",
    "version": 2
  }
}