Pith Number

pith:ZJHAO7YI

pith:2009:ZJHAO7YIORXCCGEKIQ5CGMGNIW

not attested not anchored not stored refs pending

On the dimensions of secant varieties of Segre-Veronese varieties

Hirotachi Abo, Maria Chiara Brambilla

arxiv:0912.4342 v2 · 2009-12-22 · 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{ZJHAO7YIORXCCGEKIQ5CGMGNIW}

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	2026-05-18T02:38:59.723382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca4e077f08746e21188a443a2330cd45b132554bb1483f422db73a950aead71d

Aliases

arxiv: 0912.4342 · arxiv_version: 0912.4342v2 · doi: 10.48550/arxiv.0912.4342 · pith_short_12: ZJHAO7YIORXC · pith_short_16: ZJHAO7YIORXCCGEK · pith_short_8: ZJHAO7YI

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/ZJHAO7YIORXCCGEKIQ5CGMGNIW \
  | 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: ca4e077f08746e21188a443a2330cd45b132554bb1483f422db73a950aead71d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b45238d63b5e08ca79edd7a46eb7d4310d72ac536ec97806529d5d61dbdc964",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-12-22T09:02:56Z",
    "title_canon_sha256": "994404ae37c779bbca2d4bf9cb89c2f68fd2c9aee0ad9c52619843aef3210d18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4342",
    "kind": "arxiv",
    "version": 2
  }
}