Pith Number

pith:6IMQJM7E

pith:2021:6IMQJM7ECFIGQO6F3AKJSC23IW

not attested not anchored not stored refs pending

Matrix splitting and ideals in $\mathcal{B}(\mathcal{H})$

Gary Weiss, Jireh Loreaux

arxiv:2103.09215 v1 · 2021-03-16 · 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{6IMQJM7ECFIGQO6F3AKJSC23IW}

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	2026-07-05T02:23:36.290428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f21904b3e41150683bc5d814990b5b45b9f440df18f32d8bd8db5a7d114ef941

Aliases

arxiv: 2103.09215 · arxiv_version: 2103.09215v1 · doi: 10.48550/arxiv.2103.09215 · pith_short_12: 6IMQJM7ECFIG · pith_short_16: 6IMQJM7ECFIGQO6F · pith_short_8: 6IMQJM7E

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/6IMQJM7ECFIGQO6F3AKJSC23IW \
  | 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: f21904b3e41150683bc5d814990b5b45b9f440df18f32d8bd8db5a7d114ef941

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "474c3760d64f8bc972b62b36a17394385919a16331e2ea8b32bcaa48fa23ec2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-03-16T17:42:59Z",
    "title_canon_sha256": "eb82d937cfc5f2c662ad5dd9c71476ffc2db525ca1ada7c991ab23c7189a3c5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.09215",
    "kind": "arxiv",
    "version": 1
  }
}