Pith Number

pith:PYCWNK6J

pith:2011:PYCWNK6JURPH6IZDYJ277BRFOT

not attested not anchored not stored refs pending

An Operator-Fractal

Karen L. Shuman, Keri A. Kornelson, Palle E. T. Jorgensen

arxiv:1109.3168 v2 · 2011-09-14 · math.OA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PYCWNK6JURPH6IZDYJ277BRFOT}

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	2026-05-18T04:06:20.580915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e0566abc9a45e7f2323c275ff862574e4404f0c4adc81a14421256121c8ff2b

Aliases

arxiv: 1109.3168 · arxiv_version: 1109.3168v2 · doi: 10.48550/arxiv.1109.3168 · pith_short_12: PYCWNK6JURPH · pith_short_16: PYCWNK6JURPH6IZD · pith_short_8: PYCWNK6J

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/PYCWNK6JURPH6IZDYJ277BRFOT \
  | 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: 7e0566abc9a45e7f2323c275ff862574e4404f0c4adc81a14421256121c8ff2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b2f35e245d3d97da92d83ae9391196435711b1783d5656451018ee019734c2d",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-09-14T18:58:51Z",
    "title_canon_sha256": "c5baf1ef081f4c18b868f5d1875608547f3dbf7f52b9eee8d6a3bafb398f36df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3168",
    "kind": "arxiv",
    "version": 2
  }
}