Pith Number

pith:S5MJDKKW

pith:2020:S5MJDKKWVSBBHXPMZPC62VL4W5

not attested not anchored not stored refs pending

Multi-Rees Algebras of Strongly Stable Ideals

Gabriel Sosa, Kuei-Nuan Lin, Selvi Kara

arxiv:2012.15447 v2 · 2020-12-31 · 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{S5MJDKKWVSBBHXPMZPC62VL4W5}

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	2026-07-05T05:14:30.949264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

975891a956ac8213ddeccbc5ed557cb741c23c93b900a786550fd8df8b52dc37

Aliases

arxiv: 2012.15447 · arxiv_version: 2012.15447v2 · doi: 10.48550/arxiv.2012.15447 · pith_short_12: S5MJDKKWVSBB · pith_short_16: S5MJDKKWVSBBHXPM · pith_short_8: S5MJDKKW

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/S5MJDKKWVSBBHXPMZPC62VL4W5 \
  | 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: 975891a956ac8213ddeccbc5ed557cb741c23c93b900a786550fd8df8b52dc37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28d1ac8dcbecd71076ece4833bce4fd38708b2e4a1e101d12f4c7d604e5b6de5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2020-12-31T04:46:05Z",
    "title_canon_sha256": "cfd6072209c1852787c605f576e763c6cda1d91e8a018f4dc3b1893416ba2e51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.15447",
    "kind": "arxiv",
    "version": 2
  }
}