Pith Number

pith:C3Z2AHWO

pith:1998:C3Z2AHWOEEWAP65UQEPQNKRK3D

not attested not anchored not stored refs pending

Modular Theory and Geometry

B. Schroer, H.-W. Wiesbock (FU-Berlin)

arxiv:math-ph/9809003 v1 · 1998-09-02 · math-ph · hep-th · 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{C3Z2AHWOEEWAP65UQEPQNKRK3D}

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.

Cited by

1 paper in Pith

The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity

Receipt and verification

First computed	2026-07-04T14:34:08.548739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16f3a01ece212c07fbb4811f06aa2ad8ddeadcb740ddb000e64d8cada921b6d6

Aliases

arxiv: math-ph/9809003 · arxiv_version: math-ph/9809003v1 · doi: 10.48550/arxiv.math-ph/9809003 · pith_short_12: C3Z2AHWOEEWA · pith_short_16: C3Z2AHWOEEWAP65U · pith_short_8: C3Z2AHWO

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/C3Z2AHWOEEWAP65UQEPQNKRK3D \
  | 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: 16f3a01ece212c07fbb4811f06aa2ad8ddeadcb740ddb000e64d8cada921b6d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6819089a825aed2b5495a19dcf3a6f7c4e30041915daba34c872c1a8fd59a7d",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1998-09-02T15:47:08Z",
    "title_canon_sha256": "bf62d51a902ba92cfdbc547374539e0d3fad2e1b5382ebbaf99c46a15fb85982"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9809003",
    "kind": "arxiv",
    "version": 1
  }
}