Pith Number

pith:V6WPSGOV

pith:2014:V6WPSGOV5TRMBE73OYNDCZGI5D

not attested not anchored not stored refs pending

Boundedness of log Calabi-Yau pairs of Fano type

Chenyang Xu, Christopher D. Hacon

arxiv:1410.8187 v1 · 2014-10-29 · 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{V6WPSGOV5TRMBE73OYNDCZGI5D}

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	2026-05-18T02:39:00.428210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afacf919d5ece2c093fb761a3164c8e8c25c3c0a0e4aaeac17aa2c0212ea9bed

Aliases

arxiv: 1410.8187 · arxiv_version: 1410.8187v1 · doi: 10.48550/arxiv.1410.8187 · pith_short_12: V6WPSGOV5TRM · pith_short_16: V6WPSGOV5TRMBE73 · pith_short_8: V6WPSGOV

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/V6WPSGOV5TRMBE73OYNDCZGI5D \
  | 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: afacf919d5ece2c093fb761a3164c8e8c25c3c0a0e4aaeac17aa2c0212ea9bed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38e6d2172f8dd418fbcaeae3759c6cbb95a2d4bb34b3b3322d3d9c698ed185ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-10-29T22:48:26Z",
    "title_canon_sha256": "d1e3b8b8986a34feb0669e32f0ae8151564fc69655806ce6a3cfc5d8dbf641ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8187",
    "kind": "arxiv",
    "version": 1
  }
}