Pith Number

pith:A6ZUBMTX

pith:2024:A6ZUBMTXJWTMOY5KJCA3DR2VQ6

not attested not anchored not stored refs pending

Birational rigidity of quartic three-folds with a double point of rank 3

Aleksandr V. Pukhlikov

arxiv:2410.15193 v1 · 2024-10-19 · 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{A6ZUBMTXJWTMOY5KJCA3DR2VQ6}

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

1 paper in Pith

A survey on birational Rigidity of threefold Weighted Complete Intersections

Receipt and verification

First computed	2026-07-05T09:22:51.546460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07b340b2774da6c763aa4881b1c755879b35aa7275291c66b31b6ebb63598647

Aliases

arxiv: 2410.15193 · arxiv_version: 2410.15193v1 · doi: 10.48550/arxiv.2410.15193 · pith_short_12: A6ZUBMTXJWTM · pith_short_16: A6ZUBMTXJWTMOY5K · pith_short_8: A6ZUBMTX

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/A6ZUBMTXJWTMOY5KJCA3DR2VQ6 \
  | 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: 07b340b2774da6c763aa4881b1c755879b35aa7275291c66b31b6ebb63598647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "102bd9d69b9954bf2a812da8f814dccaa21282a6644c1bd0e3c2f86f25a23cfb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-10-19T19:57:02Z",
    "title_canon_sha256": "987cae66dac5d017f9e0ad26214e6880a53bfdd04b95f790bcbef5f77ef1e99b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.15193",
    "kind": "arxiv",
    "version": 1
  }
}