Pith Number

pith:5RIAGKOT

pith:2017:5RIAGKOTCUW6AVYK3UVAZ52EFN

not attested not anchored not stored refs pending

Relative commutant pictures of Roe algebras

Aaron Tikuisis, Jan Spakula

arxiv:1707.04552 v2 · 2017-07-14 · math.OA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5RIAGKOTCUW6AVYK3UVAZ52EFN}

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	2026-05-17T23:52:08.452363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec500329d3152de0570add2a0cf7442b438aa9d7c261147cc618406434727f2b

Aliases

arxiv: 1707.04552 · arxiv_version: 1707.04552v2 · doi: 10.48550/arxiv.1707.04552 · pith_short_12: 5RIAGKOTCUW6 · pith_short_16: 5RIAGKOTCUW6AVYK · pith_short_8: 5RIAGKOT

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/5RIAGKOTCUW6AVYK3UVAZ52EFN \
  | 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: ec500329d3152de0570add2a0cf7442b438aa9d7c261147cc618406434727f2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1616d758317bb5dc9c7cf60bcec7e17c79f2afa7c01825c71d9e07829fa365c5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-07-14T16:00:05Z",
    "title_canon_sha256": "d69f864411f4890027f0fcb6f4f20150402f619ea9e3e2706045307e6c22682d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04552",
    "kind": "arxiv",
    "version": 2
  }
}