Pith Number

pith:QI675H77

pith:2016:QI675H772OMBYFSIPWZDEBR3KE

not attested not anchored not stored refs pending

A new bicommutant theorem

Ilijas Farah

arxiv:1603.02105 v5 · 2016-03-07 · math.OA · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QI675H772OMBYFSIPWZDEBR3KE}

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	2026-05-18T00:46:09.163072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

823dfe9fffd3981c16487db232063b5117684fb476345736691bc6838515bcb0

Aliases

arxiv: 1603.02105 · arxiv_version: 1603.02105v5 · doi: 10.48550/arxiv.1603.02105 · pith_short_12: QI675H772OMB · pith_short_16: QI675H772OMBYFSI · pith_short_8: QI675H77

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/QI675H772OMBYFSIPWZDEBR3KE \
  | 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: 823dfe9fffd3981c16487db232063b5117684fb476345736691bc6838515bcb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9aedb86dac58b69c9d05136bddc7027690f5bb9eeabd5bdaaee925b11837e6d6",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-03-07T15:18:12Z",
    "title_canon_sha256": "e13ece0ee0081a4b329c85449e1c4a36273286a07f29387811beb59b958731e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02105",
    "kind": "arxiv",
    "version": 5
  }
}