Pith Number

pith:RU6OYK3D

pith:2026:RU6OYK3D7ETJ5PWCFX4F7E2V2D

not attested not anchored not stored refs pending

Brauer--Manin obstruction from failure of Kodaira vanishing in positive characteristic

Domenico Valloni, Fabio Bernasconi

arxiv:2605.28278 v1 · 2026-05-27 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RU6OYK3D7ETJ5PWCFX4F7E2V2D}

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	2026-05-28T01:05:05.010088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d3cec2b63f9269ebec22df85f9355d0fc2fe22ef070b8fd96f32943307203d1

Aliases

arxiv: 2605.28278 · arxiv_version: 2605.28278v1 · doi: 10.48550/arxiv.2605.28278 · pith_short_12: RU6OYK3D7ETJ · pith_short_16: RU6OYK3D7ETJ5PWC · pith_short_8: RU6OYK3D

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/RU6OYK3D7ETJ5PWCFX4F7E2V2D \
  | 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: 8d3cec2b63f9269ebec22df85f9355d0fc2fe22ef070b8fd96f32943307203d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "287708c12b7dc34afb68d1fd7e0e343ed96800b80c86f7f40bf64b1d7b6566a7",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-27T10:21:00Z",
    "title_canon_sha256": "4f15a6568a6e9545e646ae604450f58523d25d4e527e0c7dcd36308416b0d48a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28278",
    "kind": "arxiv",
    "version": 1
  }
}