Pith Number

pith:FMHJB4P5

pith:2022:FMHJB4P5MGJMYD3FU3DAU2WRHY

not attested not anchored not stored refs pending

Boundedness of Fano type fibrations

Caucher Birkar

arxiv:2209.08797 v1 · 2022-09-19 · 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{FMHJB4P5MGJMYD3FU3DAU2WRHY}

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

Quasi-Projective Moduli for Polarized klt Good Minimal Models

Receipt and verification

First computed	2026-07-05T04:58:46.158676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b0e90f1fd6192cc0f65a6c60a6ad13e218e2ad3984d88c62743c1bb798af5e1

Aliases

arxiv: 2209.08797 · arxiv_version: 2209.08797v1 · doi: 10.48550/arxiv.2209.08797 · pith_short_12: FMHJB4P5MGJM · pith_short_16: FMHJB4P5MGJMYD3F · pith_short_8: FMHJB4P5

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/FMHJB4P5MGJMYD3FU3DAU2WRHY \
  | 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: 2b0e90f1fd6192cc0f65a6c60a6ad13e218e2ad3984d88c62743c1bb798af5e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75c6dc15bfc4561d1742c7b042b07c6795837ccc7b5bb4557f99af684a640f67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-09-19T07:01:24Z",
    "title_canon_sha256": "47627a7a33f6a87b7c74fd1aa85037e6447443fedc5d65b82aad354d16f7dc46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.08797",
    "kind": "arxiv",
    "version": 1
  }
}