Pith Number

pith:YZHYNI4S

pith:2012:YZHYNI4SZ5NQOIPS5MCSCGS2IH

not attested not anchored not stored refs pending

Subideals of operators II

G. Weiss, S. Patnaik

arxiv:1209.6323 v1 · 2012-09-27 · math.OA · 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{YZHYNI4SZ5NQOIPS5MCSCGS2IH}

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	2026-05-18T03:44:34.595054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c64f86a392cf5b0721f2eb05211a5a41d40eef0572aeb35c528916ab19c16c4d

Aliases

arxiv: 1209.6323 · arxiv_version: 1209.6323v1 · doi: 10.48550/arxiv.1209.6323 · pith_short_12: YZHYNI4SZ5NQ · pith_short_16: YZHYNI4SZ5NQOIPS · pith_short_8: YZHYNI4S

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/YZHYNI4SZ5NQOIPS5MCSCGS2IH \
  | 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: c64f86a392cf5b0721f2eb05211a5a41d40eef0572aeb35c528916ab19c16c4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29baab3873aead52d6ca108555b0352a316182c90275e57e334ffa59aff87a5a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-09-27T18:28:48Z",
    "title_canon_sha256": "179031eb498edca7f0a15c614bd16379e6fc63815fb9a9a9d073b70dbdeda9d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6323",
    "kind": "arxiv",
    "version": 1
  }
}