Pith Number

pith:WHR2CRBP

pith:2011:WHR2CRBP5ZTWZMSFPEDWZ44JAB

not attested not anchored not stored refs pending

Construction of wedge-local nets of observables through Longo-Witten endomorphisms

Yoh Tanimoto

arxiv:1107.2629 v3 · 2011-07-13 · math-ph · hep-th · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WHR2CRBP5ZTWZMSFPEDWZ44JAB}

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	2026-05-18T00:34:32.158712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1e3a1442fee676cb24579076cf389004f842645859095e22d5f6f739f4d7b82

Aliases

arxiv: 1107.2629 · arxiv_version: 1107.2629v3 · doi: 10.48550/arxiv.1107.2629 · pith_short_12: WHR2CRBP5ZTW · pith_short_16: WHR2CRBP5ZTWZMSF · pith_short_8: WHR2CRBP

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/WHR2CRBP5ZTWZMSFPEDWZ44JAB \
  | 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: b1e3a1442fee676cb24579076cf389004f842645859095e22d5f6f739f4d7b82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69def75dedd5356a30e07daec85b97fe273c7c53a07a3bb480a80f19f7f01e6e",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-07-13T18:54:49Z",
    "title_canon_sha256": "1a042416a615cab41efaab476e0e8e4e6122944ccdb2abb25518ae47f7e6abed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2629",
    "kind": "arxiv",
    "version": 3
  }
}