Pith Number

pith:P35TISO3

pith:2003:P35TISO3QJZ3KIXJCSYL6NJANI

not attested not anchored not stored refs pending

Topological stable rank of inclusions of unital C*-algebras

Hiroyuki Osaka, Tamotsu Teruya

arxiv:math/0311461 v1 · 2003-11-26 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P35TISO3QJZ3KIXJCSYL6NJANI}

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	2026-05-18T01:05:26.713116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7efb3449db8273b522e914b0bf35206a255db8b48782526a60aa79c7f7a072d1

Aliases

arxiv: math/0311461 · arxiv_version: math/0311461v1 · doi: 10.48550/arxiv.math/0311461 · pith_short_12: P35TISO3QJZ3 · pith_short_16: P35TISO3QJZ3KIXJ · pith_short_8: P35TISO3

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/P35TISO3QJZ3KIXJCSYL6NJANI \
  | 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: 7efb3449db8273b522e914b0bf35206a255db8b48782526a60aa79c7f7a072d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3928d4bc8b9f7790d6fcfdd2122e41e67d9fc6d24516f112a4330ad580e8a1de",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2003-11-26T04:43:57Z",
    "title_canon_sha256": "19a37e466b02c32ef548ef231ce70374ac5514fbfed95c8c3f2f0c3911c9e840"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311461",
    "kind": "arxiv",
    "version": 1
  }
}