Pith Number

pith:3KUBGIVD

pith:2012:3KUBGIVD6J2JX7I5Z3QP3K6T4F

not attested not anchored not stored refs pending

Representation stability for syzygies of line bundles on Segre--Veronese varieties

Claudiu Raicu

arxiv:1209.1183 v1 · 2012-09-06 · math.AG · math.AC · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3KUBGIVD6J2JX7I5Z3QP3K6T4F}

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	2026-05-18T01:00:40.925812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daa81322a3f2749bfd1dcee0fdabd3e1474f6c67147b927546c805c188c58b0b

Aliases

arxiv: 1209.1183 · arxiv_version: 1209.1183v1 · doi: 10.48550/arxiv.1209.1183 · pith_short_12: 3KUBGIVD6J2J · pith_short_16: 3KUBGIVD6J2JX7I5 · pith_short_8: 3KUBGIVD

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/3KUBGIVD6J2JX7I5Z3QP3K6T4F \
  | 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: daa81322a3f2749bfd1dcee0fdabd3e1474f6c67147b927546c805c188c58b0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22f31d4d972f76fadede155fd508f63b8e7f8f5c6b650c9a16170d45a102ad85",
    "cross_cats_sorted": [
      "math.AC",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-09-06T05:21:01Z",
    "title_canon_sha256": "41c12954c93ac4dd88b8dc2b5c3b99f223a78c43ca4862e092b43add7b7abd56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1183",
    "kind": "arxiv",
    "version": 1
  }
}