Pith Number

pith:R3QK6THG

pith:2019:R3QK6THGFHETBTHDROG4OLN7SP

not attested not anchored not stored refs pending

The free field: realization via unbounded operators and Atiyah property

Roland Speicher, Sheng Yin, Tobias Mai

arxiv:1905.08187 v2 · 2019-05-20 · math.OA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R3QK6THGFHETBTHDROG4OLN7SP}

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	2026-07-05T00:55:27.615110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ee0af4ce629c930cce38b8dc72dbf93c277f730ec06a4a689d9375f6f2c0950

Aliases

arxiv: 1905.08187 · arxiv_version: 1905.08187v2 · doi: 10.48550/arxiv.1905.08187 · pith_short_12: R3QK6THGFHET · pith_short_16: R3QK6THGFHETBTHD · pith_short_8: R3QK6THG

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/R3QK6THGFHETBTHDROG4OLN7SP \
  | 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: 8ee0af4ce629c930cce38b8dc72dbf93c277f730ec06a4a689d9375f6f2c0950

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d4391522c853477b7c5aebd6112773b0085722ac61c4a77630293e4d7a111df",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-05-20T16:01:23Z",
    "title_canon_sha256": "e10420e0df607bc60667bdd9f89086b83bbc108c4cc48ad7d21bad0c086fb425"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.08187",
    "kind": "arxiv",
    "version": 2
  }
}