Pith Number

pith:OGDG77R3

pith:2022:OGDG77R3HFQFCJIMPSSZ3RPETD

not attested not anchored not stored refs pending

Moduli of algebraic varieties

Caucher Birkar

arxiv:2211.11237 v1 · 2022-11-21 · 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{OGDG77R3HFQFCJIMPSSZ3RPETD}

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.

Cited by

5 papers in Pith

Arakelov inequality for families of pairs

On the DCC Property of Iitaka Volume with Real Coefficients and Generalised Pairs

Geometric Shafarevich boundedness conjecture for families of polarized varieties

Birational boundedness of stable families

Receipt and verification

First computed	2026-07-05T05:17:51.572685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71866ffe3b396051250c7ca59dc5e498cfbf0609ea0165cd3e8287dce416235c

Aliases

arxiv: 2211.11237 · arxiv_version: 2211.11237v1 · doi: 10.48550/arxiv.2211.11237 · pith_short_12: OGDG77R3HFQF · pith_short_16: OGDG77R3HFQFCJIM · pith_short_8: OGDG77R3

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/OGDG77R3HFQFCJIMPSSZ3RPETD \
  | 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: 71866ffe3b396051250c7ca59dc5e498cfbf0609ea0165cd3e8287dce416235c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec587d6af7c9f3b659bdee739a2c39866aadb6a7f15ba8bff11fb154e6a55c9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-11-21T08:02:37Z",
    "title_canon_sha256": "db92974ef598322e27c1c41c144a90623ddd7812563ec167456e987e44263d31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.11237",
    "kind": "arxiv",
    "version": 1
  }
}