Pith Number

pith:5VZDGCN2

pith:2010:5VZDGCN2XHNU7JDREME3UK7RYJ

not attested not anchored not stored refs pending

Stratification of the fourth secant variety of Veronese variety via the symmetric rank

Alessandra Bernardi, Edoardo Ballico

arxiv:1005.3465 v4 · 2010-05-19 · 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{5VZDGCN2XHNU7JDREME3UK7RYJ}

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	2026-05-18T03:05:35.974783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed723309bab9db4fa4712309ba2bf1c261a42707d2f454c9349e99126626488c

Aliases

arxiv: 1005.3465 · arxiv_version: 1005.3465v4 · doi: 10.48550/arxiv.1005.3465 · pith_short_12: 5VZDGCN2XHNU · pith_short_16: 5VZDGCN2XHNU7JDR · pith_short_8: 5VZDGCN2

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/5VZDGCN2XHNU7JDREME3UK7RYJ \
  | 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: ed723309bab9db4fa4712309ba2bf1c261a42707d2f454c9349e99126626488c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68db6c94ce851a9f91b85b3d2ca42f77f1795f1496ffbcbaaa730dd1ecc3d9ce",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-05-19T15:02:20Z",
    "title_canon_sha256": "a1590a4bc659b34f461542a0701d877c9446bc5b671b97b74d39098a27738971"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3465",
    "kind": "arxiv",
    "version": 4
  }
}