Pith Number

pith:HI3GS4YJ

pith:2008:HI3GS4YJA77W7EMR7FOX7PM4CF

not attested not anchored not stored refs pending

Secant varieties to osculating varieties of Veronese embeddings of $\mathbb{P}^n$

A. Bernardi, A. Gimigliano, M. Id\`a, M.V. Catalisano

arxiv:0807.2455 v2 · 2008-07-15 · math.AG · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HI3GS4YJA77W7EMR7FOX7PM4CF}

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	2026-05-18T04:21:53.260435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a3669730907ff6f9191f95d7fbd9c11748d8773b366ee74a762f93b7b84042b

Aliases

arxiv: 0807.2455 · arxiv_version: 0807.2455v2 · doi: 10.48550/arxiv.0807.2455 · pith_short_12: HI3GS4YJA77W · pith_short_16: HI3GS4YJA77W7EMR · pith_short_8: HI3GS4YJ

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/HI3GS4YJA77W7EMR7FOX7PM4CF \
  | 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: 3a3669730907ff6f9191f95d7fbd9c11748d8773b366ee74a762f93b7b84042b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f146d960618afbb2c95a6913674a060bd7c2cd19e5eaacaa0c15f8ecf92d9369",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-07-15T20:57:18Z",
    "title_canon_sha256": "68e5f9f96ab555955937f1d85e61170ea31ca5aaa2de44f844678f9a47fdb057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.2455",
    "kind": "arxiv",
    "version": 2
  }
}