Pith Number

pith:OFNZBBGV

pith:2021:OFNZBBGVBRH5443A2632QSFJ2D

not attested not anchored not stored refs pending

Ideals, Determinants, and Straightening: Proving and Using Lower Bounds for Polynomial Ideals

Michael A. Forbes, Robert Andrews

arxiv:2112.00792 v2 · 2021-12-01 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OFNZBBGVBRH5443A2632QSFJ2D}

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.

Cited by

1 paper in Pith

Lower Bounds against the Ideal Proof System in Finite Fields

Receipt and verification

First computed	2026-07-05T05:10:53.518091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

715b9084d50c4fde7360d7b7a848a9d0d8e6278b978261fc8870afc5186ce182

Aliases

arxiv: 2112.00792 · arxiv_version: 2112.00792v2 · doi: 10.48550/arxiv.2112.00792 · pith_short_12: OFNZBBGVBRH5 · pith_short_16: OFNZBBGVBRH5443A · pith_short_8: OFNZBBGV

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/OFNZBBGVBRH5443A2632QSFJ2D \
  | 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: 715b9084d50c4fde7360d7b7a848a9d0d8e6278b978261fc8870afc5186ce182

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e0b2a6a6e4ff980bedac8a10b6ff8bd271ed2d3dd7b7c11c71648274d0cd5ee",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2021-12-01T19:29:34Z",
    "title_canon_sha256": "827b682c964c0eb3253003765784e8701e001697492ff0e1d020b7a362ca29cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.00792",
    "kind": "arxiv",
    "version": 2
  }
}