Pith Number

pith:RPJ7LGOG

pith:2011:RPJ7LGOGBHDMXZU2TABSOXK54Z

not attested not anchored not stored refs pending

Ideals Generated by Quadratic Polynomials

Melvin Hochster, Tigran Ananyan

arxiv:1106.0839 v1 · 2011-06-04 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RPJ7LGOGBHDMXZU2TABSOXK54Z}

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	2026-05-18T04:20:37.345144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bd3f599c609c6cbe69a9803275d5de6429e87185a9bf3ff9c5615ca5f84eedc

Aliases

arxiv: 1106.0839 · arxiv_version: 1106.0839v1 · doi: 10.48550/arxiv.1106.0839 · pith_short_12: RPJ7LGOGBHDM · pith_short_16: RPJ7LGOGBHDMXZU2 · pith_short_8: RPJ7LGOG

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/RPJ7LGOGBHDMXZU2TABSOXK54Z \
  | 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: 8bd3f599c609c6cbe69a9803275d5de6429e87185a9bf3ff9c5615ca5f84eedc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e20fb08f22459ade248ce78385be320ebcb5a72754fd10b9833b9882d89d7d9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-06-04T16:49:16Z",
    "title_canon_sha256": "408f902fcfdbb2ffa39c2bbe5afc1905fc3fa727c062803b943bc06ad589b334"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0839",
    "kind": "arxiv",
    "version": 1
  }
}