Pith Number

pith:NI6K5L7L

pith:2010:NI6K5L7L3CCXWIIUJLSLHUE6U3

not attested not anchored not stored refs pending

The Golod-Shafarevich inequality for Hilbert series of quadratic algebras and the Anick conjecture

Natalia Iyudu, Stanislav Shkarin

arxiv:1007.3944 v1 · 2010-07-22 · math.RA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NI6K5L7L3CCXWIIUJLSLHUE6U3}

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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	2026-05-18T04:16:13.048139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a3caeafebd8857b21144ae4b3d09ea6e523f52ccd7d42cb01f80bfdd92b805f

Aliases

arxiv: 1007.3944 · arxiv_version: 1007.3944v1 · doi: 10.48550/arxiv.1007.3944 · pith_short_12: NI6K5L7L3CCX · pith_short_16: NI6K5L7L3CCXWIIU · pith_short_8: NI6K5L7L

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/NI6K5L7L3CCXWIIUJLSLHUE6U3 \
  | 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: 6a3caeafebd8857b21144ae4b3d09ea6e523f52ccd7d42cb01f80bfdd92b805f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ef0fe38c679d486052aae35acb872debda836d38938b337633b00035b48a60c",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-07-22T17:15:33Z",
    "title_canon_sha256": "c363b70ec76f83017d3f3c5db57810ffe4d0bdaca711d94b0077178e5188fe8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3944",
    "kind": "arxiv",
    "version": 1
  }
}