Pith Number

pith:IU3B7JBR

pith:2016:IU3B7JBRHIVRLAPPPKU46CML35

not attested not anchored not stored refs pending

Okounkov bodies and Zariski decompositions on surfaces

Jinhyung Park, Joonyeong Won, Sung Rak Choi

arxiv:1603.00618 v2 · 2016-03-02 · 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{IU3B7JBRHIVRLAPPPKU46CML35}

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	2026-05-18T00:45:58.834416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45361fa4313a2b1581ef7aa9cf098bdf619b6de99b8f82df277c5a6060e232f5

Aliases

arxiv: 1603.00618 · arxiv_version: 1603.00618v2 · doi: 10.48550/arxiv.1603.00618 · pith_short_12: IU3B7JBRHIVR · pith_short_16: IU3B7JBRHIVRLAPP · pith_short_8: IU3B7JBR

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/IU3B7JBRHIVRLAPPPKU46CML35 \
  | 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: 45361fa4313a2b1581ef7aa9cf098bdf619b6de99b8f82df277c5a6060e232f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a0790a7e135520279573926f17472ced66dc53d919f25c4ea1a91dce31e2624",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-03-02T08:47:29Z",
    "title_canon_sha256": "858cc92202338be093aea9c848398ea476cb140f70d039189836c992529c04cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00618",
    "kind": "arxiv",
    "version": 2
  }
}