Pith Number

pith:YM74257I

pith:2018:YM74257ISXQ65CFKSJMNJCO3AB

not attested not anchored not stored refs pending

Mumford's influence on the moduli theory of algebraic varieties

J\'anos Koll\'ar

arxiv:1809.10723 v1 · 2018-09-27 · 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{YM74257ISXQ65CFKSJMNJCO3AB}

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	2026-05-18T00:04:35.211926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c33fcd77e895e1ee88aa9258d489db0067ec4639f4207a1cea9da91ba0d3e56c

Aliases

arxiv: 1809.10723 · arxiv_version: 1809.10723v1 · doi: 10.48550/arxiv.1809.10723 · pith_short_12: YM74257ISXQ6 · pith_short_16: YM74257ISXQ65CFK · pith_short_8: YM74257I

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/YM74257ISXQ65CFKSJMNJCO3AB \
  | 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: c33fcd77e895e1ee88aa9258d489db0067ec4639f4207a1cea9da91ba0d3e56c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35141e8b50601495f443ba650367fe8dc87e9e285279d1de0362632dcce85775",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-09-27T18:56:30Z",
    "title_canon_sha256": "28020bdf44278c9d41709f9b8c20a946ecf4a00825645b3a838460ef7a0373e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10723",
    "kind": "arxiv",
    "version": 1
  }
}