Pith Number

pith:EMUP5RKK

pith:2025:EMUP5RKKRG346EDSZSXCQZV7UA

not attested not anchored not stored refs pending

Effective positivity of Hodge bundles and applications

Giulio Codogni, Luca Tasin, Zsolt Patakfalvi

arxiv:2506.10515 v2 · 2025-06-12 · 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{EMUP5RKKRG346EDSZSXCQZV7UA}

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

4 papers in Pith

Quasi-Projective Moduli for Polarized klt Good Minimal Models

The minimal volume of stable surfaces of rank one

Birational boundedness of stable families

The minimal volume of stable surfaces of rank one

Receipt and verification

First computed	2026-07-05T11:46:44.071812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2328fec54a89b7cf1072ccae2866bfa02466f83e569cbe71b1fe2fafe3c601b3

Aliases

arxiv: 2506.10515 · arxiv_version: 2506.10515v2 · doi: 10.48550/arxiv.2506.10515 · pith_short_12: EMUP5RKKRG34 · pith_short_16: EMUP5RKKRG346EDS · pith_short_8: EMUP5RKK

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/EMUP5RKKRG346EDSZSXCQZV7UA \
  | 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: 2328fec54a89b7cf1072ccae2866bfa02466f83e569cbe71b1fe2fafe3c601b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "465c22f9a685df707e3d2dc3d49f9783e3c225bcb1512d952934e1a4568d9e51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-06-12T09:23:36Z",
    "title_canon_sha256": "44c43e2de9505339027996bda69cadd0e07fa3ad085bccbc712b03ff1c3cfa62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.10515",
    "kind": "arxiv",
    "version": 2
  }
}