Pith Number

pith:TU6UHRQU

pith:2019:TU6UHRQUDKLOURRI2WJMA2WVZQ

not attested not anchored not stored refs pending

Poisson geometrical aspects of the Tomita-Takesaki modular theory

Anatol Odzijewicz, Daniel Beltita

arxiv:1910.14466 v2 · 2019-10-31 · math.OA · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TU6UHRQUDKLOURRI2WJMA2WVZQ}

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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.

Cited by

1 paper in Pith

The Restricted Schatten-class Grassmannian $\mathrm{Gr}_{\mathrm{res}, p}(\mathcal{H})$ as affine coadjoint orbit

Receipt and verification

First computed	2026-05-29T02:05:31.252149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d3d43c6141a96ea4628d592c06ad5cc383e7b2cf561647fc76c6b5cd82d9579

Aliases

arxiv: 1910.14466 · arxiv_version: 1910.14466v2 · doi: 10.48550/arxiv.1910.14466 · pith_short_12: TU6UHRQUDKLO · pith_short_16: TU6UHRQUDKLOURRI · pith_short_8: TU6UHRQU

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/TU6UHRQUDKLOURRI2WJMA2WVZQ \
  | 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: 9d3d43c6141a96ea4628d592c06ad5cc383e7b2cf561647fc76c6b5cd82d9579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e201ea81d22e1e6c3d105d5d3d106022381abccc46f72edbc38a245c1f4851be",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-10-31T13:46:50Z",
    "title_canon_sha256": "cd8d92d996e87366cab455f4cfb198b902b2a05a6ad277da23e44432fe451928"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.14466",
    "kind": "arxiv",
    "version": 2
  }
}