Pith Number

pith:224ZIZZS

pith:2014:224ZIZZSD6NEO2RA7DOPKUBQMP

not attested not anchored not stored refs pending

A cohomological splitting criterion for rank 2 vector bundles on Hirzebruch surfaces

Kazunori Yasutake

arxiv:1412.1584 v1 · 2014-12-04 · 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{224ZIZZSD6NEO2RA7DOPKUBQMP}

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	2026-05-18T02:32:06.933342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6b99467321f9a476a20f8dcf5503063da6870a6c88957344a299beb9985196e

Aliases

arxiv: 1412.1584 · arxiv_version: 1412.1584v1 · doi: 10.48550/arxiv.1412.1584 · pith_short_12: 224ZIZZSD6NE · pith_short_16: 224ZIZZSD6NEO2RA · pith_short_8: 224ZIZZS

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/224ZIZZSD6NEO2RA7DOPKUBQMP \
  | 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: d6b99467321f9a476a20f8dcf5503063da6870a6c88957344a299beb9985196e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52cfe76d56ce795d51260b9f9011443810796cc9210d77342fb33b924bfedadd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-12-04T08:29:27Z",
    "title_canon_sha256": "bf4b1562a4cb7356b07f3d794819f2f9235d8ac4611319fd046eb83805a8bfd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1584",
    "kind": "arxiv",
    "version": 1
  }
}