Pith Number

pith:B4XD5KOY

pith:2025:B4XD5KOYNULAQ7SSOKOIFTWVTG

not attested not anchored not stored refs pending

Arithmetic Sparsity and Obstructions in Weighted Projective Spaces

Tanush Shaska

arxiv:2509.02319 v3 · 2025-09-02 · 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{B4XD5KOYNULAQ7SSOKOIFTWVTG}

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	2026-07-16T01:22:26.950224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f2e3ea9d86d16087e52729c82ced599b52dd2f2745614c70d3cc2a3667f3038

Aliases

arxiv: 2509.02319 · arxiv_version: 2509.02319v3 · doi: 10.48550/arxiv.2509.02319 · pith_short_12: B4XD5KOYNULA · pith_short_16: B4XD5KOYNULAQ7SS · pith_short_8: B4XD5KOY

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/B4XD5KOYNULAQ7SSOKOIFTWVTG \
  | 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: 0f2e3ea9d86d16087e52729c82ced599b52dd2f2745614c70d3cc2a3667f3038

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b66f5dd0ed1df03cc3c7a623f4cf685a63c3da7b35c3168e44ebd15acba56552",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-09-02T13:46:16Z",
    "title_canon_sha256": "b33a45db4738d0a309b25c8447aedfdf3c661128f4e32e1ea3f91a6f07190b06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.02319",
    "kind": "arxiv",
    "version": 3
  }
}