Pith Number

pith:NBB4RDLV

pith:2024:NBB4RDLVJJCO7YEWFANDELCY57

not attested not anchored not stored refs pending

On the projective normality of Ulrich bundles on some low-dimensional varieties

Valerio Buttinelli

arxiv:2412.15686 v1 · 2024-12-20 · 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{NBB4RDLVJJCO7YEWFANDELCY57}

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	2026-07-05T09:52:28.291873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6843c88d754a44efe096281a322c58efdb23529bd583860fe32a575adf0dda9b

Aliases

arxiv: 2412.15686 · arxiv_version: 2412.15686v1 · doi: 10.48550/arxiv.2412.15686 · pith_short_12: NBB4RDLVJJCO · pith_short_16: NBB4RDLVJJCO7YEW · pith_short_8: NBB4RDLV

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/NBB4RDLVJJCO7YEWFANDELCY57 \
  | 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: 6843c88d754a44efe096281a322c58efdb23529bd583860fe32a575adf0dda9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37cc9b92f0323e3dceb0d8662ece2c8a64ae2a9434f162a03a6504464218ee74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-12-20T09:05:42Z",
    "title_canon_sha256": "a733d2bbd10a0cfecd89c96ba43250b830c4e29874cb8d58b37e7ec653bfa0be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.15686",
    "kind": "arxiv",
    "version": 1
  }
}