Pith Number

pith:OY55UKMM

pith:2015:OY55UKMMMAPJNMSFECHYRJHSW7

not attested not anchored not stored refs pending

Okounkov bodies associated to pseudoeffective divisors

Jinhyung Park, Joonyeong Won, Sung Rak Choi, Yoonsuk Hyun

arxiv:1508.03922 v5 · 2015-08-17 · 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{OY55UKMMMAPJNMSFECHYRJHSW7}

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	2026-05-18T00:24:32.013676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

763bda298c601e96b245208f88a4f2b7db9208c3c1395fe5afea8d30668337c0

Aliases

arxiv: 1508.03922 · arxiv_version: 1508.03922v5 · doi: 10.48550/arxiv.1508.03922 · pith_short_12: OY55UKMMMAPJ · pith_short_16: OY55UKMMMAPJNMSF · pith_short_8: OY55UKMM

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/OY55UKMMMAPJNMSFECHYRJHSW7 \
  | 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: 763bda298c601e96b245208f88a4f2b7db9208c3c1395fe5afea8d30668337c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ac5a0e62ea47f3d0c9f1a4568e48da2cdee3e5aea8142abdb8a170732efef14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-17T04:39:24Z",
    "title_canon_sha256": "67b9ae55c4ab15d76986c4f7e77dc86beb8270cfa099039a003793daa83d9793"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03922",
    "kind": "arxiv",
    "version": 5
  }
}