Pith Number

pith:VJSZ3BKU

pith:2015:VJSZ3BKU2KLPRGLRGO3VUONAO3

not attested not anchored not stored refs pending

Direct products in projective Segre codes

Azucena Tochimani, Maria Vaz Pinto, Rafael H. Villarreal

arxiv:1501.01692 v4 · 2015-01-08 · math.AC · cs.IT · math.AG · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VJSZ3BKU2KLPRGLRGO3VUONAO3}

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	2026-05-18T01:21:49.256883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa659d8554d296f8997133b75a39a076d1a1b379478fed9aad8503ab789cc6fd

Aliases

arxiv: 1501.01692 · arxiv_version: 1501.01692v4 · doi: 10.48550/arxiv.1501.01692 · pith_short_12: VJSZ3BKU2KLP · pith_short_16: VJSZ3BKU2KLPRGLR · pith_short_8: VJSZ3BKU

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/VJSZ3BKU2KLPRGLRGO3VUONAO3 \
  | 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: aa659d8554d296f8997133b75a39a076d1a1b379478fed9aad8503ab789cc6fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "598c1d337f56c4b5d6be3bd648b3479948bc671d43c3cd80b89f39d94ccc3ed8",
    "cross_cats_sorted": [
      "cs.IT",
      "math.AG",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-01-08T00:13:26Z",
    "title_canon_sha256": "85aec317792757e2ba69a3c4371eb787199a53f880edc8c8a2c3183aee0ce900"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01692",
    "kind": "arxiv",
    "version": 4
  }
}