Pith Number

pith:XXZ2KKEK

pith:2019:XXZ2KKEKFJG56O3H2XYKXIKXFB

not attested not anchored not stored refs pending

Gorenstein $T$-spread Veronese algebras

Rodica Dinu

arxiv:1901.01561 v1 · 2019-01-06 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XXZ2KKEKFJG56O3H2XYKXIKXFB}

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	2026-05-17T23:56:51.711381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdf3a5288a2a4ddf3b67d5f0aba157284af32b85acdd651de7f961b1c559c940

Aliases

arxiv: 1901.01561 · arxiv_version: 1901.01561v1 · doi: 10.48550/arxiv.1901.01561 · pith_short_12: XXZ2KKEKFJG5 · pith_short_16: XXZ2KKEKFJG56O3H · pith_short_8: XXZ2KKEK

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/XXZ2KKEKFJG56O3H2XYKXIKXFB \
  | 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: bdf3a5288a2a4ddf3b67d5f0aba157284af32b85acdd651de7f961b1c559c940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "855f120d713672d47eb047c039035c1def269bfc99abce68c4185329319e39b4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-01-06T16:04:13Z",
    "title_canon_sha256": "e6558ddda99b3c7878d9ddb41515e0c5d85c9376c0ee0c31ad08e21c000de6da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01561",
    "kind": "arxiv",
    "version": 1
  }
}