Pith Number

pith:4Q2SQTRR

pith:2011:4Q2SQTRRTOHNFJEE4AQFLS76AJ

not attested not anchored not stored refs pending

Gorenstein algebras presented by quadrics

Juan Migliore, Uwe Nagel

arxiv:1106.2825 v1 · 2011-06-14 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4Q2SQTRRTOHNFJEE4AQFLS76AJ}

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	2026-05-18T04:19:55.538028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e435284e319b8ed2a484e02055cbfe0272e35efe9943357979b7245fef4e5bd3

Aliases

arxiv: 1106.2825 · arxiv_version: 1106.2825v1 · doi: 10.48550/arxiv.1106.2825 · pith_short_12: 4Q2SQTRRTOHN · pith_short_16: 4Q2SQTRRTOHNFJEE · pith_short_8: 4Q2SQTRR

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/4Q2SQTRRTOHNFJEE4AQFLS76AJ \
  | 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: e435284e319b8ed2a484e02055cbfe0272e35efe9943357979b7245fef4e5bd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0569183087cbef2afa6d16dd178af6c16bf63b5dbb477477324ae6b8cb9902d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-06-14T21:10:45Z",
    "title_canon_sha256": "67830f3ff3142eb382eb0b7c147ac061316e1cb83b9d86dd86e6918a2f2b6a3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2825",
    "kind": "arxiv",
    "version": 1
  }
}