Pith Number

pith:O3FJKHQL

pith:2025:O3FJKHQL6Q347QU37TVVFMW5FR

not attested not anchored not stored refs pending

Variation of cones of divisors in a family of varieties -- Fano type case

Chuyu Zhou, Sung Rak Choi, Zhan Li

arxiv:2504.04109 v5 · 2025-04-05 · 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{O3FJKHQL6Q347QU37TVVFMW5FR}

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	2026-06-29T01:14:01.919417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76ca951e0bf437cfc29bfceb52b2dd2c7bbe1820fdf95f688babb986c3c7c94d

Aliases

arxiv: 2504.04109 · arxiv_version: 2504.04109v5 · doi: 10.48550/arxiv.2504.04109 · pith_short_12: O3FJKHQL6Q34 · pith_short_16: O3FJKHQL6Q347QU3 · pith_short_8: O3FJKHQL

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/O3FJKHQL6Q347QU37TVVFMW5FR \
  | 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: 76ca951e0bf437cfc29bfceb52b2dd2c7bbe1820fdf95f688babb986c3c7c94d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd770202a86635cb973c265834a2f7ef85cec80a38f3edd7a787a02bb22d0bb3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-04-05T09:03:32Z",
    "title_canon_sha256": "80755ceebd7b8c733335281bcdbe034783a653e2d3eb0a56c96f4a9dd245ba51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.04109",
    "kind": "arxiv",
    "version": 5
  }
}