Pith Number

pith:JLDGCWHD

pith:2017:JLDGCWHDJAZGR6BFYD6P2OQHKV

not attested not anchored not stored refs pending

Brill-Noether theorems and globally generated vector bundles on Hirzebruch surfaces

Izzet Coskun, Jack Huizenga

arxiv:1705.08460 v2 · 2017-05-23 · 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{JLDGCWHDJAZGR6BFYD6P2OQHKV}

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	2026-05-18T00:15:52.560756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ac66158e3483268f825c0fcfd3a07555c6d251c52af275c0d4915172d211e50

Aliases

arxiv: 1705.08460 · arxiv_version: 1705.08460v2 · doi: 10.48550/arxiv.1705.08460 · pith_short_12: JLDGCWHDJAZG · pith_short_16: JLDGCWHDJAZGR6BF · pith_short_8: JLDGCWHD

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/JLDGCWHDJAZGR6BFYD6P2OQHKV \
  | 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: 4ac66158e3483268f825c0fcfd3a07555c6d251c52af275c0d4915172d211e50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ac1b3ae3a21c3248b85fcef18e825cb6761f62e19deffd5b297f558653e7903",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-05-23T18:03:37Z",
    "title_canon_sha256": "d62b1f5da08cb71914d6a91b026761e2d0f2646faf4140e5d4f492e5e10427a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08460",
    "kind": "arxiv",
    "version": 2
  }
}