Pith Number

pith:N6ZTQBDQ

pith:2010:N6ZTQBDQVITSIIR6AQOMQ6UIF3

not attested not anchored not stored refs pending

Stable polynomial division and essential normality of graded Hilbert modules

Orr Shalit

arxiv:1003.0502 v2 · 2010-03-02 · math.OA · cs.SC · math.AC · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N6ZTQBDQVITSIIR6AQOMQ6UIF3}

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	2026-05-18T04:23:34.328478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fb3380470aa2724223e041cc87a882edd35a06fb870084ba89761f61ea602a3

Aliases

arxiv: 1003.0502 · arxiv_version: 1003.0502v2 · doi: 10.48550/arxiv.1003.0502 · pith_short_12: N6ZTQBDQVITS · pith_short_16: N6ZTQBDQVITSIIR6 · pith_short_8: N6ZTQBDQ

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/N6ZTQBDQVITSIIR6AQOMQ6UIF3 \
  | 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: 6fb3380470aa2724223e041cc87a882edd35a06fb870084ba89761f61ea602a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7a50bfa18297e4c67e53a349863302f3f929140c520677a413054e7fb94d1df",
    "cross_cats_sorted": [
      "cs.SC",
      "math.AC",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-03-02T05:21:42Z",
    "title_canon_sha256": "77785f3880c23e7e15b3e158b9765b438d5fa01dd06cbf73cc90129df7a8082c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0502",
    "kind": "arxiv",
    "version": 2
  }
}