Pith Number

pith:OUZLZ4QS

pith:2014:OUZLZ4QSEVENTGQZGPKVSLGZYZ

not attested not anchored not stored refs pending

Quasi-Stable ideals and Borel-fixed ideals with a given Hilbert Polynomial

Cristina Bertone

arxiv:1409.5569 v2 · 2014-09-19 · 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{OUZLZ4QSEVENTGQZGPKVSLGZYZ}

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	2026-05-18T02:20:59.256724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7532bcf2122548d99a1933d5592cd9c65c46b8b6c2aa50df80a839cd21b27395

Aliases

arxiv: 1409.5569 · arxiv_version: 1409.5569v2 · doi: 10.48550/arxiv.1409.5569 · pith_short_12: OUZLZ4QSEVEN · pith_short_16: OUZLZ4QSEVENTGQZ · pith_short_8: OUZLZ4QS

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/OUZLZ4QSEVENTGQZGPKVSLGZYZ \
  | 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: 7532bcf2122548d99a1933d5592cd9c65c46b8b6c2aa50df80a839cd21b27395

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5028d43cc918116b50721b0bbe9a7d3f0de47c18ed10c50e6e6471c341a7853",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-09-19T09:32:33Z",
    "title_canon_sha256": "f4d8069a95694596cd0f61f9c51b276731c40aa7302b6f1250b9c288dd5ddf2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5569",
    "kind": "arxiv",
    "version": 2
  }
}