Pith Number

pith:CEPYDJOD

pith:2026:CEPYDJODTPHUBKCYJAUDB7ZPSW

not attested not anchored not stored refs pending

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry

Xinyi Yuan

arxiv:2606.27116 v1 · 2026-06-25 · math.NT · 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{CEPYDJODTPHUBKCYJAUDB7ZPSW}

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	2026-06-26T01:16:09.980572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

111f81a5c39bcf40a858482830ff2f959833fe00ece136efbaac86acb002f703

Aliases

arxiv: 2606.27116 · arxiv_version: 2606.27116v1 · doi: 10.48550/arxiv.2606.27116 · pith_short_12: CEPYDJODTPHU · pith_short_16: CEPYDJODTPHUBKCY · pith_short_8: CEPYDJOD

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/CEPYDJODTPHUBKCYJAUDB7ZPSW \
  | 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: 111f81a5c39bcf40a858482830ff2f959833fe00ece136efbaac86acb002f703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8d7e41954d67217cecbf84eca1a8c42fe5804d745f824d5c409ab556c3e2764",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-25T14:55:09Z",
    "title_canon_sha256": "7b08d46b805714803b1f169f4ba8093b4223ca1b87f6165724c17a973bc17e7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27116",
    "kind": "arxiv",
    "version": 1
  }
}