Pith Number

pith:OQ6W344D

pith:2017:OQ6W344DYEOSSENNRTU3JFBQSV

not attested not anchored not stored refs pending

Homotopical Stable Ranks for Certain C*-algebras

Prahlad Vaidyanathan

arxiv:1710.10009 v4 · 2017-10-27 · 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{OQ6W344DYEOSSENNRTU3JFBQSV}

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	2026-05-18T00:12:32.803073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

743d6df383c11d2911ad8ce9b49430955ffe91d70eb43c887ed9fe7a1f19835b

Aliases

arxiv: 1710.10009 · arxiv_version: 1710.10009v4 · doi: 10.48550/arxiv.1710.10009 · pith_short_12: OQ6W344DYEOS · pith_short_16: OQ6W344DYEOSSENN · pith_short_8: OQ6W344D

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/OQ6W344DYEOSSENNRTU3JFBQSV \
  | 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: 743d6df383c11d2911ad8ce9b49430955ffe91d70eb43c887ed9fe7a1f19835b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e548f7ecd65be47ffe44e85020492f208cda66d72e02c04059f658a4817faac6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-10-27T07:04:42Z",
    "title_canon_sha256": "7d03f655c94c8e61c160adf763f62a42442fc9de7e329a54f7ea0c53de4c1f6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10009",
    "kind": "arxiv",
    "version": 4
  }
}