Pith Number

pith:3Z5RK3YN

pith:2011:3Z5RK3YNVI7YKEIOTNCJ4TEX3M

not attested not anchored not stored refs pending

Modular localization and the holistic structure of causal quantum theory, a historical perspective

Bert Schroer

arxiv:1107.1374 v8 · 2011-07-07 · 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{3Z5RK3YNVI7YKEIOTNCJ4TEX3M}

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	2026-05-18T02:09:42.164748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de7b156f0daa3f85110e9b449e4c97db3809e33a678eb0c2a2faca46356bdc48

Aliases

arxiv: 1107.1374 · arxiv_version: 1107.1374v8 · doi: 10.48550/arxiv.1107.1374 · pith_short_12: 3Z5RK3YNVI7Y · pith_short_16: 3Z5RK3YNVI7YKEIO · pith_short_8: 3Z5RK3YN

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/3Z5RK3YNVI7YKEIOTNCJ4TEX3M \
  | 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: de7b156f0daa3f85110e9b449e4c97db3809e33a678eb0c2a2faca46356bdc48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24f76cc9e39c221a1ae3f4d8ab251e840a868ecf1426a3a9695d9404dbdeea54",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-07-07T13:16:22Z",
    "title_canon_sha256": "631458ce88c506968ee7409089a827d07ccae11c3d28228de6aa75bf35bd2b32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1374",
    "kind": "arxiv",
    "version": 8
  }
}