Pith Number

pith:TKMAEQL4

pith:2020:TKMAEQL45K4UN2O4VEI5WDZ4GQ

not attested not anchored not stored refs pending

Boundedness of elliptic Calabi-Yau varieties with a rational section

Caucher Birkar, Gabriele Di Cerbo, Roberto Svaldi

arxiv:2010.09769 v2 · 2020-10-19 · 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{TKMAEQL45K4UN2O4VEI5WDZ4GQ}

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

1 paper in Pith

Quasi-Projective Moduli for Polarized klt Good Minimal Models

Receipt and verification

First computed	2026-07-05T09:14:25.233394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a9802417ceab946e9dca911db0f3c3414181fe3d3e7aab319d0a58751cf321a

Aliases

arxiv: 2010.09769 · arxiv_version: 2010.09769v2 · doi: 10.48550/arxiv.2010.09769 · pith_short_12: TKMAEQL45K4U · pith_short_16: TKMAEQL45K4UN2O4 · pith_short_8: TKMAEQL4

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/TKMAEQL45K4UN2O4VEI5WDZ4GQ \
  | 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: 9a9802417ceab946e9dca911db0f3c3414181fe3d3e7aab319d0a58751cf321a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f24672980777d0fd686c1b488dce63922b1ac93bdf6f10368e1138c789331d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-10-19T18:13:32Z",
    "title_canon_sha256": "a002771d88a8ab661954977edf20388d9ab8e4bb9004d392b94730b513b5e2ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.09769",
    "kind": "arxiv",
    "version": 2
  }
}