Pith Number

pith:AF2DMAQO

pith:2018:AF2DMAQOZEBAXCWE6W7TR4YXDJ

not attested not anchored not stored refs pending

Log-plurigenera in stable families

J\'anos Koll\'ar

arxiv:1801.05414 v2 · 2018-01-16 · 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{AF2DMAQOZEBAXCWE6W7TR4YXDJ}

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	2026-05-18T00:20:23.952582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

017436020ec9020b8ac4f5bf38f3171a412ef242143f2095fa11c0870ba02ee3

Aliases

arxiv: 1801.05414 · arxiv_version: 1801.05414v2 · doi: 10.48550/arxiv.1801.05414 · pith_short_12: AF2DMAQOZEBA · pith_short_16: AF2DMAQOZEBAXCWE · pith_short_8: AF2DMAQO

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/AF2DMAQOZEBAXCWE6W7TR4YXDJ \
  | 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: 017436020ec9020b8ac4f5bf38f3171a412ef242143f2095fa11c0870ba02ee3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4515d45edf8bd87f98253aca90e2458cd1e2287ec67ff74283d8cd57a643959",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-01-16T18:53:29Z",
    "title_canon_sha256": "5520ed162aa834952631c25d805e0302ef041e7bda05652da5f32f0c207de0d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05414",
    "kind": "arxiv",
    "version": 2
  }
}