Pith Number

pith:GTXAKJWY

pith:2010:GTXAKJWY2UWYEWZRHP2QSJCPZ2

not attested not anchored not stored refs pending

Hilbert series and Hilbert depth of squarefree Veronese ideals

Jiayuan Lin, Maorong Ge, Yulan Wang

arxiv:1008.4108 v2 · 2010-08-24 · 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{GTXAKJWY2UWYEWZRHP2QSJCPZ2}

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	2026-05-18T04:34:18.145035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34ee0526d8d52d825b313bf509244fceabb15e8884d75d96459fe221ab861528

Aliases

arxiv: 1008.4108 · arxiv_version: 1008.4108v2 · doi: 10.48550/arxiv.1008.4108 · pith_short_12: GTXAKJWY2UWY · pith_short_16: GTXAKJWY2UWYEWZR · pith_short_8: GTXAKJWY

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/GTXAKJWY2UWYEWZRHP2QSJCPZ2 \
  | 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: 34ee0526d8d52d825b313bf509244fceabb15e8884d75d96459fe221ab861528

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ed74d92bf96f534b82b5a4bd80fe3f50548d9fc3cd8a940b206954a41f982f9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-08-24T18:48:02Z",
    "title_canon_sha256": "5b0b7ce144852e624aaaf96dfc899b5779d1fb8567dce1715c821f225954bcbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4108",
    "kind": "arxiv",
    "version": 2
  }
}