Pith Number

pith:MBCZR3RQ

pith:2009:MBCZR3RQB36KREWJGRP2KPZMZT

not attested not anchored not stored refs pending

Toeplitz CAR flows and type I factorizations

Masaki Izumi, R. Srinivasan

arxiv:0906.1872 v1 · 2009-06-10 · 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{MBCZR3RQB36KREWJGRP2KPZMZT}

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	2026-05-18T02:29:30.390471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

604598ee300efca892c9345fa53f2ccce1859be7c25b4cc30c010dfa900c5397

Aliases

arxiv: 0906.1872 · arxiv_version: 0906.1872v1 · doi: 10.48550/arxiv.0906.1872 · pith_short_12: MBCZR3RQB36K · pith_short_16: MBCZR3RQB36KREWJ · pith_short_8: MBCZR3RQ

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/MBCZR3RQB36KREWJGRP2KPZMZT \
  | 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: 604598ee300efca892c9345fa53f2ccce1859be7c25b4cc30c010dfa900c5397

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5538e1d4889d3ac9bf9710284eac943abc6d438db1a2ce8a27fd6541aca9cd9c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-06-10T07:57:00Z",
    "title_canon_sha256": "40b1cd2af0c9223402f2976015497291bf6669fd395edba3c51243d7ea6360e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1872",
    "kind": "arxiv",
    "version": 1
  }
}