Pith Number

pith:II2PKJX5

pith:2021:II2PKJX5366KVUT2L5ZQQUCHWD

not attested not anchored not stored refs pending

Adelic line bundles on quasi-projective varieties

Shou-Wu Zhang, Xinyi Yuan

arxiv:2105.13587 v9 · 2021-05-28 · 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{II2PKJX5366KVUT2L5ZQQUCHWD}

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

3 papers in Pith

Quantitativity in the Mordell Conjecture

Bigness of Canonical Quadratic Points on Curves of Genus 4

Receipt and verification

First computed	2026-07-05T11:21:28.048709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4234f526fddfbcaad27a5f73085047b0e2b1eed9ede0fef57d24b8d66edd1cd7

Aliases

arxiv: 2105.13587 · arxiv_version: 2105.13587v9 · doi: 10.48550/arxiv.2105.13587 · pith_short_12: II2PKJX5366K · pith_short_16: II2PKJX5366KVUT2 · pith_short_8: II2PKJX5

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/II2PKJX5366KVUT2L5ZQQUCHWD \
  | 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: 4234f526fddfbcaad27a5f73085047b0e2b1eed9ede0fef57d24b8d66edd1cd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11641b9e1d43ac05bc9ff8c7a65a5215502b2dd742b1a11f4f45d015a6c3700a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-05-28T04:55:48Z",
    "title_canon_sha256": "259f5884543269b8f268f1929da00c46c1eecfc3784c2b046c44acdd2fc0592c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.13587",
    "kind": "arxiv",
    "version": 9
  }
}